Question

y=-x+5
y=2y-4
show work

Answer 1

To solve this system of equations, we can substitute the first equation into the second equation:

y = 2(-x + 5) - 4
y = -2x + 10 - 4
y = -2x + 6

Now we have a new equation that relates x and y. Let's substitute this back into the first equation to solve for x:

-2x + 6 = -x + 5
-2x + x = 5 - 6
-x = -1
x = 1

Now that we have found x, we can substitute it back into one of the original equations to solve for y:

y = -1 + 5
y = 4

Therefore, the solution to the system of equations is x = 1 and y = 4.