10x - 8y = 4
-5x + 3y = -9
(please explain step by step I don't understand)​

Answers

Answer 1

Answer:

x = 6

y = 7

Step-by-step explanation:

10x - 8y = 4   ⇒ ( 1 )

-5x + 3y = -9  ⇒ ( 2 )

( 2 ) × 2

2 × ( -5x + 3y = -9 )

-10x + 6y = - 18  ⇒ ( 3 )

( 1 ) + ( 3 )

10x - 8y -10x + 6y = 4 - 18

-2y = - 14

Divide both sides by ( - 2 )

y = 7

Now let us replace y with 7 to find the value of x.

For that, let us use equation ( 1 ).

10x - 8y = 4

10x - 8 × 7 = 4

10x - 56 = 4

10x = 56 + 4

10x = 60

Divide both sides by 10.

x = 6

Answer 2

Answer:

[tex]\boxed{\sf{x=6 \quad y=7}}[/tex]

Step-by-step explanation:

Isolate the term of x and y from one side of the equation.

10x-8y=4 and -5+3y=-9

10x-8y=4

x=2(2y+1)/5

Substitute.

[tex]\sf{-5*\dfrac{2(2y+1)}{5}+3y=-9}[/tex]

Solve.

-y-2=-9

Add by 2 from both sides.

-y-2+2=-9+2

Solve.

-y=-7

Divide by -1 from both sides.

-y/-1=-7/-1

Solve.

Divide the numbers from left to right.

-7/-1=7

y=7

Substitute of y=7.

x=2(2*7+1)/5

PEMDAS stands for:

ParenthesisExponentsMultiplyDivideAddSubtract

2(2*7+1)/5

Do parenthesis first.

2*7=14

14+1=15

2(15)/5

Multiply.

2*15=30

Divide.

30/5=6

x=6

Therefore, the correct answer is x=6 and y=7.

I hope this helps you! Let me know if my answer is wrong or not.


Related Questions

When you are graphing a proportion or a percent, what should you look at to help you understand the bigger picture?.

Answers

Answer:

Or the rate of change. The percentage change.

Slope.

Thirty percent of what number is 123?

Answers

The answer is 410

Hope this helps!!

Answer:

30% also means 30/100 in fraction form.

(Think of the root 'per' in percent to be per a 100.)

The keyword 'of' means multiplication.

'X' will be the unknown number aka the part that says ('-what number').

And 123 will represent the result.

Set up equation;

30/100 · x = 123

Then solve for x;

30/100x = 1230.3x = 123÷ 0.3   ÷ 0.3x = 410

So your answer is 410.

hard question help!!!!

Answers

Answer:

A

Step-by-step explanation:

You can do 22/4 and that will give you 5.5. Since A gives the multiply chart for 5.5 to 4, the answer is A

What is the missing value in this calculation?
2/13+ ?/13=6/13

Answers

Answer:

? = 4

Step-by-step explanation:

2/13 + ?/13 = 6/13        (Given)

-2/13               -2/13      (Isolate the unknown through subtraction)

?/13 = 6/13 - 2/13        

?/13 = 4/13                    (Combine like terms)

? = 4

Because the demoninators are the same, the unknown value can be found using isolation techniques. To find the unknown, subtract 2/13 from both sides. This eliminates the 2/13 from the right side while obeying the rule that states that what is done to one side must to done to the other. This leaves the ?/13 by itself on the right and 4/13 on the left. Again, because the demoninators are identical, the unknown value must be 4.

The answer probably is 4


Drag each tile to the correct box. Not all tiles will be used.
The table represents the balance of Sylvia's loan, y, over a period of 24 months, x. She used technology to create the scatter plot shown and
determined the best fit equation to model the data, y=-382.05x +
25,077.40. Determine how long it will take to reach the given balances

Answers

Using the given linear function, it is found that:

The balance will be of approximately $17,000 in month 21.The balance will be of approximately $0 in month 66.

What is the function for the balance?

The balance after x months is modeled by:

y = -382.05x + 25077.4.

Hence, it will be of approximately $17,000 at x for which y = 17000, hence:

17000 = -382.05x + 25077.4

x = (25077.4 - 17000)/382.05

x = 21.

We apply the same logic to find when it will be of approximately 0.

0 = -382.05x + 25077.4

x = (25077.4 - 0)/382.05

x = 66.

More can be learned about linear functions at https://brainly.com/question/24808124

What is the measurement of < F

Answers

Answer:

Option C - 65°

Step-by-step explanation:

Since the side lengths of this triangle are equal this triangle is an isosceles:

Because the triangle is an isosceles the base angles are equal so

∠G = ∠F = 65°

hello! this is an isosceles triangle, meaning that two sides are congruent.
angle g and angle f are also congruent so angle f is 65 degrees

Find the range: 40, 90, 36, 68, 90, 11, 88, 54

Answers

Answer:

79

Step-by-step explanation:

90-11=79

Answer:

79

Step-by-step explanation:

To find the range, subtract the biggest number and the smallest number. In this case, it would be 90-11 which is 79.

Puzzle in the picture. explain how you did it, the answer should be 23.

Answers

Answer:

Bro you have got the answer as 17 I don't know how

Step-by-step explanation:

Please mark me as brainliest

Find the area of the composite figure.

A: 96.75 units2
B: 112.5 units2
C: 139.5 units2
D: 192

Answers

The area of the composite figure from the image attached is 112.5 units²

What is the area of a composite figure?

The area of a composite figure refers to the sum total of all the areas of the shapes in that composite figure. This can be done by first identifying the shapes in that composite figure, then finding each area, followed by the addition of all the areas to determine the area of the composite figure.

From the given figure; we can break it down into:

A parallelogramA rectangleA triangle

The area of a parallelogram = b × h

where;

b & h refers to the length of the two opposite diagonal lines.

The area of a parallelogram =  9 × 6

The area of a parallelogram = 54 units²

The area of a rectangle = Length × breadth

The area of a rectangle = (9 × 3) units²

The area of a rectangle = 27 units²

The area of the triangle [tex]\mathbf{=\dfrac{1}{2}\times b \times h}[/tex]

where;

Base = b Height = h

The area of the triangle [tex]\mathbf{=\dfrac{1}{2}\times b \times h}[/tex]

The area of the triangle [tex]\mathbf{=\dfrac{1}{2}\times 9 \times 7}[/tex]

The area of the triangle [tex]\mathbf{= 31.5 units^2}[/tex]

Therefore, the area of the composite figure is:

= 54 + 27 + 31.5

= 112.5 units²

Learn more about composite figures here:

https://brainly.com/question/15981553

Hello people ~
Sketch the graph for y=cot ^-1 (cot x)

Answers

Answer:

      [tex]\sf y=cot^{-1}(cot(x))[/tex]

[tex]\sf \implies cot(y)=cot(x)[/tex]

[tex]\sf \implies \dfrac{1}{tan(y)}=\dfrac{1}{tan(x)}[/tex]

[tex]\sf \implies tan(x)=tan(y)[/tex]

[tex]\sf \implies y=x[/tex]

[tex]\sf \implies y=x\pm\pi n[/tex]

What’s 1+7+6+8+10-12+5+22-4-12+16

Answers

Answer:

The answer to your question is 47

Step-by-step explanation:

You just add and subtract the question the your answer will be 47. Brainly patrol, stop deleting me.

The answer is 72

Step-by-step explanation:

1+7=8

8+6=14

14+8=22

22+10=32

32+12=44

44+5=49

49+22=70

70-4=66

66-12=56

56+16=72

Please tell me how to solve for the area cause I thought the formula was ab/2

Answers

Answer:

Step-by-step explanation:

(a). 5.33 m

(b). 41.65 m²

What is 2x+3+8x=3x+9x+7

Answers

Answer:

x=-2

Step-by-step explanation:

Hey there!

In order to solve this equation, you need to combine like terms

The equation after combining the x terms and the contants will look like this

10x+3=12x+7

Now you have to take 10x away from both sides

3=2x+7

Now bring all the constants to the left side

3-7=2x

Simplify

-4=2x

divide 2 on both sides to get x by itself

x=-2

So, the answer is x=-2

Find the slope of the line that is parallel and perpendicular to the following equation.
-4x - 4y = 16

Answers

Answer:

Slope of the line that is parallel: -1

Slope of the line that is perpendicular: 1

Step-by-step explanation:

For the parallel line:

Rewrite your equation to slope-intercept form: y = mx + b

y = mx + b

m = slopeb = y-intercept (when x = 0)

-4x - 4y = 16 <== add 4x to both sides

+4x         +4x

-4y = 4x + 16 <== divide both sides by -4

/-4      /-4

y = -x - 4

The slope of the line that is parallel to this line is -1 (invisible 1 in front of x).

For the perpendicular line:

*Perpendicular lines have negative reciprocals*

Steps:

1. Take your original slope (-1)

2. Flip it (-1/1)

3. Change the sign (1)

For a slope of -1, the reciprocal would be: 1

Hope this helps!

-4x-4y=16

Convert to y=mx+b form

-4y=4x+16y=-x-4

Slope:-

m=-1

Parallel lines have equal slope

Perpendicular line's slope=1

What scale factor was used to dilate STUV to S’T’U’V?

A. 0.20
B. 0.50
C. 0.25
D. 0.75

Answers

Answer: C. 0.25

Step-by-step explanation:

Large Shape: S (-4, 12)   T (2, -4)    U (6, -8)   V (-12, -8)

Small Shape: S (-1, 3)   T (0.5, -1)    U (1.5, -2)   V (-3, -2)

For the smaller shape the distance between V and U is 4.5

For the larger shape the distance between V and U is 18

So when you divide [tex]\frac{4.5}{18}[/tex] you should get 0.25

S: [tex]\frac{-4}{-1}=4[/tex]     [tex]-4 *0.25=-1[/tex]

T: [tex]\frac{2}{0.5}=4[/tex]     [tex]2*0.25=0.5[/tex]

U: [tex]\frac{6}{1.5}=4[/tex]     [tex]6*0.25=1.5[/tex]

V: [tex]\frac{-12}{-3} =4[/tex]    [tex]-12*0.25=-3[/tex]

I hope this helps

What is the value of x?
Enter your answer in the box.
units

Answers

Answer:

x=27

Step-by-step explanation:

the attached photo might help you

Find the perimeter of each figure.
6 cm
2 cm
2 cm
6 cm

Answers

Answer:

Assuming that you are listing the length of each side of the figure, we can add the values together.  The perimeter is 16 cm.

Step-by-step explanation:

6+2+2+6=16 cm

A $24.99 shin is on sale for 15% off. You have a coupon that will take an additional 10% off, after the first coupon. Your friend says. "Why don't they just take 25% off? It's the same amount!" She then adds. "Isn't it? How do you respond? Justify your answer. Do not round!

also its due on Thursday April 14​

Answers

Answer:

Its not the same

Step-by-step explanation:

Hey there!

I would respond to him by telling him that its first 15% off then you can add the 10%

First, you would take out the 15% from $24.99 which would make the price $21.25.

Then you would take out the 10% which makes the final price $19.13

This is because the 10% was added later.

If you took out 25% in the begining the final price would be $18.75 not $19.13

9. A man bought a calculator for Rs 1450 and sold at a loss of 12% Find the loss amount Hi. Find the selling price of the calculator.​

Answers

Price of calculator=₹1450Sold at a loss=12%

Loss amount:-

12% of 14500.12(1450)₹174

Hence

Selling price:-

Price-loss1450-174₹1276

Answer:

1276 rupees

Step-by-step explanation:

Given

Price = 1450Loss % = 12%

Solving

Selling price = 1450 x (100 - 12%) [as it a loss]1450 x 88%1450 x 0.881276 rupees

Given that k // I, identify the congruent angles in the
triangles.
212
v
m
22
v
23

Answers

V 23 is the correct answer

Please explain someone!!!

Answers

Answer: 1 and 2

Step-by-step explanation: 1 and 2 because if you are graphing this the formula to find the slope / the line is y = x + some number. In the formula x is how much the line goes from the x axis and the number is how much it is from the y axis. On #2 the problem is 3y = 2x + 4 so to follow the formula you need to divide both sides by 3 to get y = 2/3x + 4. For #3 you do the same thing to get y = -3/2x -5. Finally for #1 the equation is 2x + 3y = 7 so to get the slope / line you need to put x on the other side so now it is 3y = 7-2x then you divide both sides by 3 and get y = -2/3x + 7 and on 1 and 2 there x is 2/3 (the negative doesn't matter and the random number) so they are parallel.


What is the result of subtracting 4x + 3xy + 2y
from 5x + 3xy + 6y ?
1. x² + 47
x + 4y
8. -X- 4y
-x
C. -X – 4y
-
D. x² + 4y

Answers

D. x + 4y

5x - 4x = x
3xy - 3xy = 0
6y - 2y = 4y

What is the volume of this cube?

Answers

Answer: 1 inc^3

Step-by-step explanation:

V = A^3

Where a = side

V = 1 ^3

V = 1 inch^3

Or in meteres it is 1.6387064e-5

Step-by-step explanation:

HOPE THIS HELPS IF NOT SORRYYYY !!!!!

can someone help me ? ​

Answers

Answer:

Make 2 rectangles and find perimeter and then divide by 2.

Step-by-step explanation:

Hope that helps.

Solve x2 14x = −24 by completing the square. what is the solution set of the equation?

Answers

Answer:

(-12, -2)

Step-by-step explanation:

Rearrange the equation --> x^2 + 14x + 24 = 0

Split 14x into 12x + 2x --> x^2 + 12x + 2x + 24 = 0

Group --> x(x + 12) + 2(x + 12) = 0, (x + 12)(x + 2) = 0

Find roots:

x + 12 = 0, x = -12

x + 2 = 0, x = -2

The solution of the given expression [tex]\rm x^{2} +14x = -24\\[/tex] by completing the square method is 12 and  -2.

The given expression is

[tex]\rm x^{2} +14x = -24\\[/tex]

What is completing the square method?

In completing the square, we take half of the coefficient of the middle term and then square it. Then we add it to both sides of the equation

Here coefficient of middle term x is +14.

So, 14/2 = 7

square of 7 is 49

[tex]\rm x^{2} +14x +49= -24+49\\\rm (x+7) (x+7)=25\\\rm (x+7)^{2} =5^{2} \\\rm x+7 =5[/tex]

x+7 = 5 and x+7 = -5

Solve for x by subtracting 7 on both sides

x = -2  and x= -12

Solution set is {-12, -2}

Learn more about completing the square;

https://brainly.com/question/4822356

What is the volume of a cone in cubic inches with a radius of 2 inches and a height of 3 inches use 3.14 for pie round your answers to the nearest hundredth

Answers

radius r = 2 in

height h = 3 in

slant height s = 3.60555128 in

volume V = 12.5663706 in3

lateral surface area L = 22.6543468 in2

base surface area B = 12.5663706 in2

total surface area A = 35.2207174 in2

In Terms of Pi π

volume V = 4 π in3

lateral surface area L = 7.21110255 π in2

base surface area B = 4 π in2

total surface area A = 11.2111026 π in2

What is 85% of 21?
I need to know for school because we're doing this project.

Answers

Answer:

85% of 21 is 17.85.

ello mate, i need help with this here question can you help a girl out and if ya do ill give you brainlist :D

Answers

Answer:

B

Step-by-step explanation:

Add the value of the dots

0 + 3/8 + 3/8 + 4/8 + 5/8 + 7/8 =   22/8 = 2 6/8

Area of composite shapes
The following shape has 1 pair of
parallel sides.
7
2
7
8
*
-
-
-
3
What is the area of the shape?
CI
units?

Answers

Answer: 76

Step-by-step explanation:

The area of the given composite figure is 76 square units.

What is area?

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

The given composite figure has three parts, two triangles and one rectangle.

Area of small triangle = 1/2 ×8×2

= 8 square units

Area of large triangle = 1/2 ×8×3

= 12 square units

Area of rectangle = Length×Height

= 8×7

= 56 square units

Total area = 8+12+56

= 76 square units

Therefore, the area of the given composite figure is 76 square units.

Learn more about the area here:

https://brainly.com/question/27683633.

#SPJ2

A mixed economy is dependent only on the choices of individuals and businesses a combination of individual choice and government protection where people produce and trade traditional goods completely based on government decisions

Answers

Answer:

In general, a mixed economy is "a combination of individual choice and government protection," although the balance tends to lean more towards individual choice.

Answer:

a combination of individual choice and government protection

Step-by-step explanation:

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