Question

MAKING AN ARGUMENT The graphs of y=-x+4 and y=2x-8 intersect at (4, 0). Your friend says the solution of

the equation -x +4=2x-8 is (4,0).
Is your friend correct?
Yes
O No
Explain.

Answer 1

Yes, the solution to the equation -x + 4 = 2x - 8 is (4, 0).

Step-by-step explanation:

Yes, your friend is correct. The solution of the equation -x + 4 = 2x - 8 is indeed (4, 0). To find the solution, we can solve the equation by setting -x + 4 equal to 2x - 8 and then solving for x.

-x + 4 = 2x - 8

Combine like terms: -x - 2x = -8 - 4

-3x = -12

Divide by -3: x = 4

Plugging this value of x back into either equation, we find that y = 0.

Therefore, the solution to the equation is (4, 0) which is the point of intersection of the two lines.

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