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What is the value of the x-coordinate of the solution to the system of equations below?

y = 2x+8
y = -3x + 3
AND NO ITS NOT -1 I keep getting it wrong when I put -1 please I need helppp

User Asi
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1 Answer

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I regret to inform you the answer is x = -1 :/

We can solve this three different ways.

First, because both equations are equal to variable y, we can set them equal to each other, isolate variables and constants, simplify, and then solve for x.
2x + 8 = -3x + 3
- 2x - 2x
8 = -5x + 3
-3 - 3
5 = - 5x
Divide both sides by -5
5 / (-5) = -5x / (-5)
-1 = x or x = -1

Second, we can isolate both variables x and y on one side and constants on the other and solve for x by adding and simplifying the system of equations.
y = 2x + 8
y = -3x + 3
2x - y = -8
3x - y = -3
Pick one of equations to multiply by -1 such that we can cancel out a variable and solve for the other.
2x - y = -8
-1(3x - y = -3)
2x - y = -8
3x + y = 3
Combine like terms
2x + 3x - y + y = -8 + 3
5x + 0 = -5
5x = -5
Divide both sides by 5
5x / 5 = (-5) / 5
x = -1
In this method, you could also solve for y and then plug it into one of the equations in order to solve for x.

The third way is to place both of these equations on a graph and observe where they cross paths. This image is included below. The first equation is represented by the red line; the second equation represented by the blue. As you can see, they intersect at point (-1, 6) where the x-value is -1 and the y-value is 6.

I suggest re-reading the question once more to see if it is, indeed, asking for the x-value or if these are the equations used. If it is, try possibly placing a space between the negative and the number 1. If this also does not work, consider screenshotting and reaching out to an instructor with the mistake in the system.

What is the value of the x-coordinate of the solution to the system of equations below-example-1
User Micnyk
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