Question

Which of these strategies would eliminate a variable in the system of equations?

2x-5y=13
-3x+2y=13

Answer 1

Explanation:

2x - 5y = 13

-3x + 2y = 13

multiply the top equation by 3 and the bottom one by 2, then add <==

watch...

2x - 5y = 13.....multiply by 3

-3x + 2y = 13....multiply by 2

-----------------

6x - 15y = 39 (result of multiplying by 3)

-6x + 4y = 26 (result of multiplying by 2)

-----------------add

- 11y = 65.....notice how out x terms were eliminated :)

Answer 2

B

Explanation:

2x-5y=13.........(1) × 3

-3x+2y=13.......(2) × 2

6x - 15y = 39

-6x + 4y = 26

Adding

6x - 6x - 15y + 4y = 13 + 13