Which of the following is a solution to the system? Show your work.

3x+2y=-3

3x-y=6

Group of answer choices

(-1, 0)

(1, -3)

(2, 0)

LaTeX: (0,-\frac{3}{2})

Answers

Answer 1

Answer:

(1, -3) is a solution to the system of equations ⇒ B

Step-by-step explanation:

Let us solve the system of equations

3x + 2y = -3 ⇒ (1)

3x - y = 6 ⇒ (2)

→ Subtract equation (2) from equation (1)

∵ (3x - 3x) + (2y - -y) = (-3 - 6)

∴ (0) + (2y + y) = (-9)

∴ 3y = -9

→ Divide both sides by 3 to find y

y = -3

→ Substitute the value of y in equation (2) to find x

∵ 3x - (-3) = 6

∴ 3x + 3 = 6

→ Subtract 3 from both sides

∵ 3x + 3 - 3 = 6 - 3

∴ 3x = 3

→ Divide both sides by 3 to find x

x = 1

To check the answer substitute the values of x any in each equation if the two sides of the equation are equal, then the solution is right

∵ 3x + 2y = -3

∵ 3(1) + 2(-3) = -3

∴ 3 - 6 = -3

-3 = -3

→ The two sides of the equation are equal

∵ 3x - y = 6

∵ 3(1) - (-3) = 6

∴ 3 + 3 = 6

6 = 6

→ The two sides of the equation are equal

∴ The solution satisfies the two equations

(1, -3) is a solution to the system


Related Questions

2 1/3 + 3 2/4 =

Fractions

Answers

5 5/6 is the answer I think

Step-by-step explanation:

2 1/3+3 2/4=7/3+14/4

=28/12+42/12 (common denominater)

=70/12

=5 10/12

I need help with this plz percent equations 100% of blank = 600,000

Answers

Answer:

100% of 600,000 = 600,000

Step-by-step explanation:

The answer will be 600,000

Since

100% of 6,000,000 = 6,000,000 so,

100% of 600,000 = 600,000

600,000, since 100% of something is the number itself.

A farmer has 300 feet of fence available to

enclose a 4500 square foot region in the

shape of adjoining squares, with sides of

length x and y. The big square has sides of

length x and the small square has sides of

length y. Find x and y.

UUUULTTUUL

x= ? feet

y = ? feet

Answers

Given :

A farmer has 300 feet of fence available to  enclose a 4500 square foot region in the  shape of adjoining squares, with sides of  length x and y.

The big square has sides of  length x and the small square has sides of   length y.

To Find :

The value of x and y.

Solution :

From attached figure perimeter is given by :

x + x + x + y + y + y + ( x-y ) = 300 ft

4x + 2y = 300

2x + y = 150  ...1)

Now, area is given by :

A = x² + y²

x² + y² = 4500  ...2)

Putting value of y in equation 2), we get :

[tex]x^2 + ( 150 - 2x)^2 =4500\\\\x^2 + 4x^2 + 22500-600x =4500\\\\5x^2 -600x + 18000=0\\\\x^2 - 120x +3600=0\\\\x^2-2\times x\times 60 + 60^2 =0\\\\(x-60)^2 =0\\\\x = 60\ ft[/tex]

y = 150 - ( 2× 60 )

y = 30 ft

Therefore, the value of x and y is 60 ft and 30 ft respectively.

3 facts about "What is a Hurricane"?​

Answers

Answer: ║               ∨Fact 1: The term 'hurricane' is derived from Taino Native American word 'hurucane,' which means the evil spirit of the wind. Fact 2: The first hurricane that caused people to fly in it occurred in 1943 during World War II. Fact 3: A tropical storm is a hurricane that travels for 74 miles per hour or higher than that.

Simplity
35x105x125
5-7 X6-5​

Answers

Answer:

lemmme thinkkkkkk

Step-by-step explanation:

Please help me!!!!!! I really neeeeeeed

Answers

Answer:

A-(x+4,y-5)

B- move 1 unit left and 7 units down

Step-by-step explanation:

A- 4 units right is x so

(x+4,y__)

5 units down is y so

(x+4,y-5)

B- move 1 unit left and 7 units down

because (x-1,y__) is going left because of the subtraction sign and its the x-coordinate, and (x-1,y-7) is down because its a Y-coordinate and sub so its going down.

TIP- Going left/down is always subtract/negative going right/up is positive/addition.

The circumefreence of a circle is 37.8. What is the area of the circle? Use 3.14 for pie

Answers

Answer:

b

Step-by-step explanation:

circumference= 2πr

37.8cm = 2πr

r= 6 cm

Area= πr^2

area = 113cm^2

A package of 8 pens costs $1.09. Milo's work to find the unit price of the pack is shown below. StartFraction 8 pens Over 1 dollar and 9 cents EndFraction = StartFraction question mark Over 1 dollar EndFraction. Question mark = StartFraction 8 Over 1 dollar and 9 cents EndFraction. Question mark = 7 dollars and 34 cents.

Answers

Question:

A package of 8 pens costs $1.09. Milo’s work to find the unit price of the pack is shown below.

8p/$1.09 =

8÷$1.09  =

$7.34

Where did Milo make his first error?

Answer:

He wrote the unit rate incorrectly.

Step-by-step explanation:

Given

[tex]Pens = 8[/tex]

[tex]Cost = \$1.09[/tex]

Required

Determine Milo's error

First, we need to solve for the unit price; then compare our results with Milo's

[tex]Unit\ Price = \frac{Cost}{Pens}[/tex]

[tex]Unit\ Price = \frac{\$1.09}{8}[/tex]

[tex]Unit\ Price = \$0.13625[/tex]

Comparing the calculation with Milo's:

We can see that he made wrong calculations i.e. in other words, he solved the required incorrectly

Mr. Parker wants to rent a cargo van for a day. It will cost the daily fee of $50 plus $0.35 per mile driven. Let m = the number of miles Mr. Parker drives for the day. Write an algebraic expression that shows the amount he will pay for the van. * 10 points \

Answers

Answer:

y=0.35m+50

Step-by-step explanation:

Step one:

given data

the daily fee= $50

cost per mile driven =$0.35

Let m = the number of miles

let y be the total cost

Step two

Required

the expression for the total cost is

An algebraic expression that shows the amount he will pay for the van. is  

y=0.35m+50

please help me with this question

Answers

Answer:

First question is 109

Second question is 45, but I guess it's a typo with 145.

a line passes through the point (-1,5) and the point (3,5), what is the equation of the line?​

Answers

Answer:

8

Step-by-step explanation:

took the test

have a nice day

mark brainlist plzzzzz

Plssss answer ASAP!!!!!!

Answers

Answer:

You do 2 times 5x, the simplify.

Answer: none of these

Step-by-step explanation:

How long is x? How long is y?

Answers

i cant see anything

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

solve for x
(10x+44)(8x-23)

Answers

Answer:

802+122−102

Step-by-step explanation:

ANSWER ASAP look at pic and answer #18

Answers

Answer:

Four

Step-by-step explanation:

Answer: will have to be 4

please help me for 50 point

Answers

Answer:

54

Step-by-step explanation:

So If this tells you what 'm' and 'n' are, you just put them inside.

First do the M so then it will be 5 * 10 which is 50 then we just first leave it there.  Then we start putting in that N. We know that N is 4. Then it's N to the power of 2. I recommend since there's already a 4 on the bottom, just do 4 * 4 there. Then you see there is a 4 on the denominator while there are double 4's on the numerator. Then you just cross one 4 on the denominator and one on the numerator to simplify it.

Then all there is is 50 + 4 = 54

So 54 is our answer.

Answer:

Step-by-step explanation:

10m + n^2/4           (m=5 , n=4)

(10*5) + (4^2/4) =

50 + 4 =

54

Find the slope. Explain what the slope and y-intercept means for the situation. Be sure to use your labels when explaining the real-life situation.

Answers

Answer:

Slope: 25, y-intercept: 0

Step-by-step explanation:

Take any two points. I'm going to take (3, 75) and (4, 100).

How to find slope: change in y/change in x

Change in y --> 100 - 75 = 25

Change in x --> 4 - 3 = 1

25 ÷ 1 = 25.

Slope is 25

Since 3 · 25 = 75, the y-intercept is 0.

The y-intercept stands for how much money someone gets for working 0 days, so they get $0 for working/whatever situation they're in for 0 days.

Find the length of the rectangle if the perimeter is 244 yards the length is 18 less than three times the width?

Answers

Answer:

The Length of rectangle is 87 yards.

Step-by-step explanation:

Let width = w

Length = 3w-18

Perimeter of rectangle = 244 yards

We need to find length of rectangle.

First we need to find value of w

The formula used will be: [tex]Perimeter=2(length+width)[/tex]

Putting values and finding w

[tex]Perimeter=2(length+width)\\244=2(3w-18+w)\\244=2(4w-18)\\244=8w-36\\244+36=8w\\8w=280\\w=\frac{280}{8}\\w=35[/tex]

So, w= 35

The width of rectangle w = 35 yards

The length of rectangle l = 3w-18 = 3(35)-18 = 105-18 = 87 yards.

So, the Length of rectangle is 87 yards.

What’s the equation for the translation of y=|x|?

Answers

The answer is D y=|x| + 4

Answer:

d) y = IxI + 4

Step-by-step explanation:

marking brainliest to whoever can help me

Answers

The mean is 7.5 and the median is 8 so the answer would be 0.5

What is the length of line segment BC

Answers

Answer:

BC = 1

Step-by-step explanation:

AB = x + 16

BC = x +6

AB + BC = AC

x + 16 +x + 6 = 12

x + x + 16 + 6 = 12

        2x + 22 = 12

              2x = 12 - 22

             2x = -10

               x = -10/5

x = - 5

BC = x + 6 = - 5 + 6 = 1

Answer:

BC = 1

Step-by-step explanation:

Frm the diagram

AB + BC = AC , substitute values

x + 16 + x + 6 = 12

2x + 22 = 12 ( subtract 22 from both sides )

2x = - 10 ( divide both sides by 2 )

x = - 5

Thus

BC = x + 6 = - 5 + 6 = 1

If you make $60 in 8 hours, what is the unit rate? hint: what is your hourly pay?

Answers

Answer:

$7.50

Step-by-step explanation:

Answer:

60 divided by 8 is 7.5

the unit rate is 7.5 and the hourly pay is $7.50

Find LN.

A. 38
B. 56
C. 58
D. 76

Answers

Answer:

B. 56°

Step-by-step explanation:

[tex] 20 \degree = \frac{1}{2} (96 \degree - \widehat{LN}) \\ \\ 2 \times 20 \degree = (96 \degree - \widehat{LN}) \\ \\ 40 \degree = (96 \degree - \widehat{LN }) \\ \\ \widehat{ln} = 96 \degree - 40 \degree \\ \\ \huge \red{ \widehat{LN} = 56 \degree}[/tex]

What is the slope of the line 4x – 2y = 10? Explain your process (show your steps) for determining the slope.​

Answers

solve for y.
subtract 4x from both sides
-2y = -4x + 10
divide everything by -2
y = 2x - 5
slope intercept form is y = mx + b, with m being the slope, so 2 is your slope

To add or subtract numbers with the power of ten you need to make sure the exponents match before you do anything to the coefficients

Answers

Answer:

is this a true or false question? If so, it's false. To add or subtract, the bases have to match, not the exponents.

Step-by-step explanation:

Answer:

nope it doesn't matter the exponents they don't have to match but you later have to add them and add that many zeros back as the exponents

Determine the simple interest paid to the nearest cent for each loan, interest rate, and time. $2,650, 3.65%, 2 1/2 years

Answers

9514 1404 393

Answer:

  $241.81

Step-by-step explanation:

The interest is given by the formula ...

  I = Prt

Filling in the values and doing the arithmetic, we have ...

  I = $2650×0.0365×2.5

  I = $241.81

The simple interest paid is $241.81.

using the equation y=-6x+1: if you choose -2 as the input ,what will be the output

Answers

Answer: 13

Step-by-step explanation: you substitute x for -2 because the input is known as x. The output is known as y; solving the new equation y=-6(-2)+1 you will get y=12+1 then y=13

what is a gross pay ?

Answers

The amount of pay before deductions
This is correct... Net pay is after deductions

For households and individuals, gross income is the sum of all wages, salaries, profits, interest payments, rents, and other forms of earnings, before any deductions or taxes. It is opposed to net income, defined as the gross income minus taxes and other deductions

What polygon has interior angle measures of 162°?

Answers

Answer:

If you are given the measure of each interior angle (162 degrees) of a regular polygon. how many sides does the polygon have? If you look at a pentagon first where the interior angle is 108 deg then you see. The angle at the center is 180-162=18 deg and 360/18=20 so the polygon has 20 sides.

What factor would you need to multiply(3x – 1) by to get922 - 12
ОА 3
B.
2
3x + 1
0
32 - 1

Answers

Answer:

32 - 1

Step-by-step explanation:

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