Question

What is the solution to the system of equations? Use the linear combination method.
{2x−3y=9
{3x+5y=4

Answer 1

1. {2x−3y=9
{3x+5y=4

2. {(2x−3y=9)×5
{(3x+5y=4)x3

3. {10x-15y=45
{9x+15y=12

4. (10x-15y=45) + (9x+15y=12)= (19x=57)

5. (19x=57)÷19

6. x=3

7. 2(3)-3y=9

8. 6-3y=9

9. -3y=9-6

10. (-3y=3)÷(-3)

11. y=-1

Answer: x=3 and y=-1