Solve the system of equations by substitution. What is the product of x and y from the solution? 2x + 3y = 12 5x - y = 13

2x + 3y = 12 (1st)

5x - y = 13 (2nd) - --> y = 5x - 13

Substitute y = 5x - 13 into (1st) equation

2x + 3 (5x - 13) = 12

2x + 15x - 39 = 12

17x - 39 = 12

17x = 51

x = 3

substitute x = 7 into y = 5x - 13

y = 5x - 13

y = 5 (3) - 13

y = 15 - 13

y = 2

Answer

solution x = 3 and y = 2