Question

Use the elimination method to solve the system of equations.2x + 3y = 183x - 3y = 12A. (2,4)B. (2,6)C. (6,2)D. (6, 10)

Answer 1

2x + 3y = 18

3x - 3y = 12

first, add both equations to eliminate y:

2x +3y = 18

+

3x-3y = 12

_________

5x = 30

Solve for x:

x=30/5

x= 6

Replace x on any initial equation and solve for y:

2(6)+3y=18

12+3y=18

3y=18-12

3y= 6

y=6/3

y=2