Question

Solve this system of equations without graphing: {5x+2y=295x−2y=41

Answer 1

x = 7, and

y = -3

Explanation:

5x + 2y = 29 (1)

5x - 2y = 41 (2)

by adding equations (1) and (2)

5x + 2y = 29

5x - 2y = 41

____________

10x = 70

x = 70/10 = 7

by substituting value of x in equation (1)

5(7) + 2y = 29

35 + 2y = 29

2y = 29 - 35

2y = -6

y = -6/2 = -3

thus,

x = 7, and

y = -3