what is the solution for the system of equations? y=x-4 y=-x+6

Question

Computer Science and Mathematics professional

Answer 1

so you know that y = x - 4

you also know that y = -x+6

so y is equal to x-4 and also to -x+6

y = x-4 = -x+6

now focus on this part:

x-4 = -x+6

so at this point you just have to solve for x.

add 4 on both sides

x - 4 + 4 = -x + 6 + 4

x = -x + 10

now add x on both sides

x + x = -x + x + 10

2x = 10

divide by 2

x = 5

now we know that x = 5! all we have to do is plug this back into either equation to figure out y.

y = x - 4 = 5 - 4 = 1

equivalently,

y = -x+6 = -5+6 = 1

so the solution: x = 5, y = 1