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Graham graphs the following system of equations to determine its solution. 2x + 4y = 12 2x – y = 2 What is the
Question
Graham graphs the following system of equations to determine its solution.
2x + 4y = 12
2x – y = 2
What is the correct solution?
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ASAP plz
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Mathematics
5 years
2021-08-29T09:20:15+00:00
2021-08-29T09:20:15+00:00 1 Answers
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Answers ( )
Answer: (2,2)
Step-by-step explanation:
I’m going to use substitution to solve this:
First, I use the second equation to solve for y in terms of x.
2x – y = 2
-y = 2 – 2x
y = 2x – 2
Then, I plug the value for y into the first equation:
2x + 4y = 12
2x + 4(2x – 2) = 12
2x + 8x – 8 = 12
10x – 8 = 12
10x = 20
x = 2
Now that we have x, we can plug it into either equation (I used the first) to get the value for y:
2x + 4y = 12
2(2) + 4y = 12
4 + 4y = 12
4y = 8
y = 2
We get the point (2,2) as a solution.
Note: This is the point where both lines intersect.