What is the solution of the system of equations?

Question

13x−6y=2
3x−4y=−10



Enter your answer in the boxes.

Answer 1

13 x − 6 y = 2 Multiply both sides by 4

52 x - 24 y = 8

3 x − 4 y = − 10 Multiply both sides by - 6

- 18 x + 24 y = 60

Now solve system:

52 x - 24 y = 8

- 18 x + 24 y = 60

52 x - 24 y = 8
+
- 18 x + 24 y = 60
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34 x + 0 = 68

34 x = 68 Divide both sides by 34

x = 68 / 34 = 2

3 x − 4 y = − 10

3 * 2 - 4 y = - 10

6 - 4 y = - 10 Subtract 6 to both sides

6 - 4 y - 6 = - 10 - 6

- 4 y = - 16 Divide both sides by - 4

y = - 16 / - 4 = 4

Solution:

x = 2 , y = 4