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Y=-2x+8

4x-2y=8

solve the system of equations show your work!! :)

User BenM
by
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1 Answer

4 votes

To solve this system of equations, we can use either substitution or elimination method. Here's how to solve it using substitution:

Substitute the expression for y from the first equation into the second equation, and solve for x:

4x - 2(-2x + 8) = 8

4x + 4x - 16 = 8

8x = 24

x = 3

Now substitute this value of x back into the first equation to find y:

y = -2x + 8

y = -2(3) + 8

y = 2

Therefore, the solution to the system of equations is (x, y) = (3, 2).

To check this solution, we can substitute the values of x and y back into the original equations:

y = -2x + 8

2 = -2(3) + 8

2 = 2 (this checks out)

4x - 2y = 8

4(3) - 2(2) = 8

12 - 4 = 8 (this also checks out)

So our solution is correct.

User Thelma
by
8.5k points

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