Question

solve each of the following system of linear equations graphically:
1) x+2y=3, 4x+3y=2
2) 2x+3y=8, x-2y+3=0

Answer 1

Equation 1: x - y = -10
Equation 2: 2x + 3y = 15

Equation 1, Rearranged: y = x + 10
Equation 1 Substituted into 2: 2x + 3(x + 10) = 15
Equation 1 Substituted into 2: 2x + 3x + 30 = 15
Equation 1 Substituted into 2: 5x + 30 = 15
Equation 1 Substituted into 2: 5x + 30 - 30 = 15 - 30
Equation 1 Substituted into 2: 5x = -15
Equation 1 Substituted into 2: x = -3
Equation 1, Solve for Y: 2(-3) + 3(y) = 15
Equation 1, Solve for Y: -6 + 3y = 15
Equation 1, Solve for Y: 3y = 21
Equation 1, Solve for Y: y = 7
Solution: x = -3, y = 7