Question

Use the substitution method to solve the linear system given. Express the answer as an ordered pair of the form (x,y)
y = x + 2
3x + 2y = 9

Answer 1

Substitute y = x + 2 into 3x + 2y = 9
Making the equation 3x + 2(x+2) = 9
Slowly Expanding the equation 3x + 2x + 4 = 9
Rearranging and balancing out the equation 3x + 2x = 9 - 4
Adding like terms 5x = 5
Dividing both sides by 5 to find x: x = 1

Substitute x = 1 into first said equation (y = x + 2)
y = 1 + 2
y = 3

Therefore, (x, y) is (1, 3).