what would be the solution of y= -x+3 and y=-2x+6

Answer 1

To find the solution for both equations, you can set them equal to each other:

-x + 3 = -2x + 6

Add x to both sides:

3 = -x + 6

Subtract 3 from both sides:

-3 = -x

Now, multiply both sides by -1 to solve for x:

3 = x

Therefore, the solution is x = 3. Now, substitute this value back into one of the original equations to solve for y. Let's use y = -x + 3:

y = -(3) + 3

y = -3 + 3

y = 0

Therefore, the solution to the system of equations y = -x + 3 and y = -2x + 6 is x = 3 and y = 0.