1.) Solve the system of equations by method of elimination. Show all your work.
2x + 4y = 8
10x – 4y = 16

Answers

Answer 1

Answer:

x=2, y=1

Step-by-step explanation:

Add:

2x+4y=8

+10x-4y=16

------------------

12x=24

Divide by 12 on both sides:

x=2

Substitute x with 2 on either 2x+4y=8 or 10x-4y=16 it doesn't matter it will result in the same answer.

(I will do both of them to prove it but you only need to replace x with one of the equation)

For 2x+4y=8

2(2)+4y=8

4+4y=8

Subtract 4 on both sides

-4+4+4y=8-4

4y=4

Divide 4 on both sides:

y=1

For 10x-4y=16

10(2)-4y=16

20-4y=16

-20+20-4y=16-20

-4y=-4

Divide -4 on both sides:

y=1

The answer for both 2x + 4y = 8 and 10x – 4y = 16 are the same showing that it doesn't matter which equation you replace the number with it will still result you in the same answer

Hope this helps!


Related Questions

PLEASEEE HELP WILLL GIVE BRAINLEAST!!!!!!

Which equation models the trend line?

A. y = –1.3x + 2
B. y = 1.3x + 2
C. y = –1.3x – 2
D.y = 1.3x – 2

Answers

Answer:

B. y = 1.3 + 2

Step-by-step explanation:

The slope is positive, and the y intercept is at positive 2.

Question 1 of 5 ? Marissa is throwing a ball across a 36-yard field. She threw it 3 of the way across the field. How far did Marissa throw the ball? ​

Answers

Answer:

12

Step-by-step explanation3%36

PLS HELP ME PLS whats 2x6x8 (5/8)

Answers

Answer:

96 5/8?????

if its wrong i sorryyy

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

If you mean multiplying them all, then:

2x6x8=96

5/8=0.625

0.625x96=60

yay its 60

Can someone help me with this

Answers

Answer:

x=125°

Step-by-step explanation:

180-(25+30)= 125°

hope it helps!

In case of an​ emergency, the office has a calling list so everyone is called in the least amount of time. Each of the first 4 people on the list calls another 4 people on the list.​ Then, each of the people in the second group calls another 4 people on the​ list, and so on. The 4th group of people will make 256 calls. Is this statement​ accurate? Explain.
Select the correct choice and fill in the answer boxes to complete your choice.
A.
Yes. The 1st group is nothing​, the 2nd group is nothing​, and so on. The 4th group is which does equal 256.
B.
No. The 1st group is nothing​, the 2nd group is nothing​, and so on. The 4th group is which does not equal 256.

Answers

Answer:

A.Yes.1st group is nothing ,the 2nd group is nothing,and so on .The 4th group is which does not equal 256 is the correct answer

Giving brainless! I needa past math

Answers

Answer:

A

Step-by-step explanation:

Because firstly they loose (minus) and then they have to divide this loss by 9.

Answer:

A or C

Step-by-step explanation:

If they’re both wrong then my bad

what are ratios that are equivalent to 16:12

Answers

Answer:

20:15, 24:18, 28:21, etc.

Step-by-step explanation:

Just divide 16 by 12 to get 4/3. Then whatever you multiply to 4, multiply to 3, and get more answers.

Answer:

4:3, 8:6, 12:9, 20:15, 24:18, 28:21, 32:24, 36:27, 40:30 and so on.

Step-by-step explanation:

The denominators are all multiples of 3 and the numerators are multiples of 4.

Mrs. King has a stack of papers to grade that contains 12 boy's papers and 8 girl's papers. What is the probability that the first paper Mrs. King's grades will be a boy's paper? *

Answers

Ok...let’s get started!
12 boys and 8 girls
That means that there are 20 kids!
12/20 is equal to 60%
There is a 60% chance that the first paper will be a boys
Please tell me if this is incorrect

Determine if the point (5, 7) is on the line of
Equation 5x + 6y = 67

Answers

Answer: The point (5,7) is on the line 5x+6y = 67

=====================================================

Explanation:

(5,7) means x = 5 and y = 7 pair up

Plug in those values to get...

5x + 6y = 67

5*5 + 6*7 = 67

25 + 42 = 67

67 = 67

We get the same number on both sides after fully simplifying. This means the equation is true. A true equation in the last step means the first equation is true when (x,y) = (5,7).

Therefore, the point (5,7) is a solution and it is on the line 5x+6y = 67.

I beg you to help me .

Answers

Answer:

16+3=y

y=19

Step-by-step explanation:

What is Which equation correctly demonstrates the Distributive Property? F. $a\left(b+c\right)=ab+c$ G. $a\left(b+c\right)=ab+ac$ H. $a+\left(b+c\right)=\left(a+b\right)+\left(a+c\right)$ I. $a+\left(b+c\right)=\left(a+b\right)\cdot\left(a+c\right)$

Answers

Answer:

[tex]G.\ $a\left(b+c\right)=ab+ac$[/tex]

Step-by-step explanation:

Given

[tex]F.\ $a\left(b+c\right)=ab+c$[/tex]

[tex]G.\ $a\left(b+c\right)=ab+ac$[/tex]

[tex]H.\ $a+\left(b+c\right)=\left(a+b\right)+\left(a+c\right)$[/tex]

[tex]I.\ $a+\left(b+c\right)=\left(a+b\right)\cdot\left(a+c\right)$[/tex]

Required

Which of the options shows Distributive Property

Distributive property states that

For: [tex]a(b + c)[/tex]

The equivalent is: [tex]ab + ac[/tex]

In other words:

[tex]a(b + c) = ab + ac[/tex] ----- (1)

Having mentioned that;

Next, we compare the list of given options to (1) above

Option G matches (1).

[tex]G.\ $a\left(b+c\right)=ab+ac$[/tex]

Hence, option G correctly demonstrates distributive property


The perimeter of a rectangle is 50ft. If the length is one more than twice the width,
what is the length, width and area?

Answers

Answer: See explanation

Step-by-step explanation:

Let the width of the rectangle be x

Since the length is one more than twice the width. Therefore, the length will be: = 2x + 1

Perimeter of a rectangle = 2(length + breadth)

50 = 2(2x + 1 + x)

50 = 2(3x + 1)

50 = 6x + 2

6x = 50 - 2

6x = 48

x = 48/6

x= 8

Width = 8ft

Length = 2x + 1 = 2(8) + 1 = 16 + 1 = 17ft

Area = Length × Width = 17 × 8 = 136ft^2

If a person walks 14 mile in 10 minutes, how far will that person walk in one hour?

Answers

Answer:

They would walk 84 miles in one hour.

Step-by-step explanation:

14 x 6 (One hour) = 84 miles

Hope this helps ^^

Answer:

84

Step-by-step explanation:

because 1 hour equals 60 mins so 6 x 14

Help ill give brainlist

Answers

Answer:

x=2

Step-by-step explanation:

Determine the measure of the unknown angle in the triangle.

Answers

you add 78 plus 37 then subtract from 180

Answer:

65°

Step-by-step explanation:

Let the unknown angle be ∠ABC

∠ABC + 78° + 37° = 180° (angle sum property of a triangle)

∠ABC + 115° = 180°

∠ABC = 180° - 115°

∠ABC = 65°

∴the unknown angle in the triangle is 65°

Steph needs to help her parents put a fence around their pool. They want the fence to be square and want each side to measure 6 meters. They already have 10 meters of fencing. How many more meters of fencing should they buy? Choose 1 answer:

Answers

Answer:

14 meters

Step-by-step explanation:

Each side of the square fence = 6 meters

Perimeter of the square fence = 4 × length

= 4 × 6

= 24 meters

They already have 10 meters of fencing

How many more meters of fencing should they buy?

= Total meters - available meters

= 24 meters - 10 meters

= 14 meters

Alan wants 42 pieces of sweet potato pie for his thanksgiving family dinner. Each pie has 8 slices. How many pies does he need to buy?

Answers

Step-by-step explanation:

6 pies. Your buy 5 pies and have 40 slices. So then you buy 1 more pie

✨✨Hope it helps✨✨

✨Brainliest?✨

what is the sales tax of 9.25% on a tv costing 234.25

Answers

Answer:

[tex]21.668125[/tex] [tex]or[/tex] [tex]21[/tex] [tex]Dollars[/tex] [tex]and[/tex] [tex]66[/tex] [tex]Cents[/tex]

Step-by-step explanation:

[tex]--------------------------------------------[/tex]

[tex]9.25\%[/tex] [tex]of[/tex] [tex]234.25[/tex] = [tex]21.668125[/tex]

[tex]--------------------------------------------[/tex]

Hope this helps! <3

[tex]--------------------------------------------[/tex]

Are the two lines parallel, perpendicular, or neither?
Graph 1
Graph 2
Graph 3
Graph 4
X
O Parallel
O Perpendicular
O Neither
O Parallel
O perpendicular
O Neither
O Parallel
Operpendicular
O Neither
O Parallel
O perpendicular
O Neither

Answers

Graph 1 neither

Graph 2 neither

Graph 3 perpendicular

Graph 4 parallel

Two lines of graph 1 , graph 2, graph 3 and graph 4 are neither , neither , perpendicular and parallel respectively.

What is a perpendicular lines?

Those lines that are perpendicular to each other that means create an angle of 90° at intersecting point are perpendicular lines.

Those lines that do not intersect each other at any point and always at the equal distance are parallel lines. And those lines that are perpendicular to each other that means create an angle of 90° at intersecting point are perpendicular lines.

In the graph 1, both lines will cut each other. So the answer is 'Neither'.

In the graph 2, both lines are intersecting each other. So the answer is 'Neither'.

In the graph 3, at intersection point angle is 90° that means lines are perpendicular lines.

In the graph 4, both lines are at the equal distance and not intersecting each other at any point, if raised. So the lines are parallel lines.

Therefore, the answer of graph 1 , graph 2, graph 3 and graph 4 are neither , neither , perpendicular and parallel respectively.

To learn more about the perpendicular lines;

https://brainly.com/question/1202004

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Please HELP
Which statement is true ??

Answers

D. angle A and B are the same angle

Answer:

the answer is d(<a=<b)

Step-by-step explanation:

because alternate interior angles are equal

A man that is 6 feet tall and casts a 4 foot shadow is standing next to a flagpole. The
flagpole casts a shadow of 10 feet. How tall is the flagpole?
a15ft
b60ft
c24ft
d40ft

Answers

Answer:  

IM JUNNA HAFT TO SAY IS 60

Step-by-step explanation:

Which number should each side of the equation 45x=8 be multiplied by to produce the equivalent equation of x = 10?

-4/5
1/5
5/4
5

Please answer FAST!!!

Answers

Answer:

5/4

Step-by-step explanation:

45 × ? = 10

Answer:

5/4

Step-by-step explanation:

thianamccornell1 no one else

Answers

Answer:

Oh I see, that’s weird

Step-by-step explanation:

Maybe you have to wait a while or wait for somebody else to answer because that’s what happens to me sometimes


Find the value of X*
X=
X х
8
12

Answers

Answer:

12

Step-by-step explanation:

This is a proportion question.

8/x = 12/(12 + 6)

8/x = 12/18             Reduce the right hand side

8/x = 2/3                Cross multiply

2x = 8*3                 Combine the right side

2x = 24                  Divide by 2

x = 24/2

x = 12  

X^2-x-12, please show your work so I can know how to do it. Thank you:))

Answers

you have to split the -x into 2 numbers that multiply to the same product as the two outside numbers so x^2+3x-4x-12
then split it and factor x(x+3)-4(x+3)
then you get (x-4)(x+3)

Write in standard form the equation y - 9 = 1/3(x - 6).

Answers

Standard form: Ax + By = C
First make slope intercept
y = 1/3(x - 6) + 9
y = 1/3x - 2 + 9
y = 1/3x + 7
Now make standard form
Subtract 7 and y
1/3x - y = -7
Get rid of fraction
Multiply all by 3
Solution: x - 3y = -21

i dont under stand this

Answers

Answer:

13

Step-by-step explanation:

a^2 + b^2 = c^2

Plug 5 and 12 for a and b respectively. then solve

Also its a special  5 12 13 triangle.

8( y- 7) please answer this I will give brainliest

Answers

Answer: 8y − 56

Step-by-step explanation:

Multiply using the distributive property.

ANSWER: 8y-56

You have to use distributive property when answering this question. 8 goes into y so it turns into 8y and 8 is then multiplied into (-7). So it would be 8(-7) and that equals -56.

Therefore, your answer would be 8y-56

50,6291583.9741
What place value does 4 hold in the number above?

Answers

number 4 is in the thousanths place

What is an equation of the line that passes through the point (-3,1) and is parallel to the line 4x + 3y = 15?​

Answers

Answer:

y=-4/3x-3

Step-by-step explanation:

The equation of the line that passes through the given point will be equal to (-4/3)x - 3.

What is an equation?

Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

As per the given information in the question,

The given equation is,

4x + 3y = 15

And the point is (-3, 1)

3y = 15 - 4x

y = (-4/3)x + 15

The line has a slope, of -4/3.

Then, use the equation,

B = y - mx

B = 1 - (-4/3 × 3)

B = -3

So,

y = (-4/3)x - 3

To know more about Equation:

https://brainly.com/question/29657983

#SPJ5

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