Unit 6-2: Substitution

no solution

solve by substitution: 2x + y = 5 and 2x + y = 7

infinitely many solutions

solve by substitution: 2x + y = 7 and y = -2x + 7

(6, -3)

solve by substitution: 2x - 3y = 21 and y = 3 - x

infinitely many solutions

solve by substitution: 3x + y = 8 and y = -3x + 8

no solution

solve by substitution: x = -5y + 4 and 3x + 15y = -1

(2, -3)

solve by substitution: x = 2 and 2x + y = 1

(-6, 1)

solve by substitution: x = y - 7 and x = -8y + 2

(-2, -4)

solve by substitution: y = 2x and x + 3y = -14

(1, 2)

solve by substitution: y = 2x and x + y = 3

no solution

solve by substitution: y = 3 and y = 5

no solution

solve by substitution: y = 3x + 5 and y = 3x + 4

(-1, 5)

solve by substitution: y = 3x + 8 and 5x + 2y = 5

infinitely many solutions

solve by substitution: y = 3x - 2 and y = 3x - 2

(3, 9)

solve by substitution: y = 3x and 2x + y = 15

(-2, -9)

solve by substitution: y = 4x - 1 and y = 2x - 5

(1, 4)

solve by substitution: y = 4x and x + y = 5

no solution

solve by substitution: y = 5x - 1 and y = 5x + 2

infinitely many solutions

solve by substitution: y = 5x - 9 and y = 5x - 9

(2, 1)

solve by substitution: y = x - 1 and x + y = 3