find the solution to the system of equations by using either graphing or substitution. x = 6 - x and y = x - 2

Answer 1

To solve this system of equations by substitution:

1. Substitute the expression for x from the first equation into the second equation to solve for y:

y = (6 - x) - 2
y = 6 - x - 2
y = 4 - x

2. Substitute the expression for x back into the first equation to solve for x:

x = 6 - x
2x = 6
x = 3

3. Substitute x = 3 back into the expression for y in terms of x:

y = 4 - x
y = 4 - 3
y = 1

Therefore, the solution to the system of equations is x = 3 and y = 1.