156k views
2 votes
2x+3y=12. 3x+5y=19. Using elimination

User NoamG
by
8.2k points

1 Answer

2 votes

Answer: x = 3, y = 2

Explanation:

To use the elimination method, we will have opposite coefficients for one of the variables. Then, we will add the equations together.

Given:

2x + 3y = 12

3x + 5y = 19

Opposite coefficients:

(2x + 3y = 12) * 3

(3x + 5y = 19) * -2

Multiply:

6x + 9y = 36

-6x - 10y = -38

Add them together:

y = -2

Substitute this back into an equation and solve for x:

2x + 3y = 12

2x + 3(2) = 12

2x + 6 = 12

2x = 6

x = 3

User Error Hunter
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories