Question

If 2x - 3y = 24 and 3x + 4y = 2, what is the value of x - y ?

Answer 1

Step-by-step explanation:

Multiply by 2 both sides to cancel x term

6x+8y = 4

6x-9y = 72

Subtract

17y = -68

y = -4

Solve for x

3x+4y = 2

3x+4(-4) = 2

3x-16 = 2

3x = 18

x = 6

x-y = 6-(-4) = 6+4 = 10