Substitution Method Steps:
Equation 1) x + y = 10
Equation 2) x - y = 8
Step 1: x + y = 10
y = 10-x Equation 3 (in terms of x)
Step 2: Substitute 10-x to y in equation 2
x - (10-x) = 8
x - 10 + x = 8
x + x = 8 + 10
2x = 18
2 2
x = 9
Step 3: Use Equation 3 to find y
y = 10 - x
y = 10 - 9
y = 1
x = 9; y = 1
The solution to this system is (9,1). The graphs of the two equations intersect at Point (9,1).
