what is the solution of

y = -x + 3
y= -2x + 6

1 answer

To find the solution to this system of equations, you can set the two equations equal to each other, since they both equal y.

Therefore, -x + 3 = -2x + 6.

To solve for x, you would first subtract -x from both sides:

3 = -x + 6.

Then subtract 6 from both sides to isolate x:

-3 = -x.

Finally, multiplying by (-1) on both sides, we get:

3 = x

Therefore x = 3.

To find y, substitute x back into one of the equations, for example, y = -2(3) + 6 = 0.

Thus, the solution to this system of equations is x = 3 and y = 0.