Answered

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6x + 8y = -2 -5x - 7y = 1

6x 8y 2 5x 7y 1 class=

Sagot :

Answer: Solution = (- 3, 2)

Explanation:

The system of equations is

6x + 8y = -2

-5x - 7y = 1

We would eliminate x. The first step is to multiply equation 1 by 5 and equation 2 by 6. We have

30x + 40y = - 10

- 30x - 42y = 6

By adding both equations, we have

30x + - 30x + 40y + - 42y = - 10 + 6

30x - 30x + 40y - 42y = - 4

- 2y = - 4

Dividing both sides by - 2,

- 2y/- 2 = - 4/- 2

y = 2

Substitu4ing y = 2 into equation 1, we hav

6x + 8 * 2 = -2

6x + 16 = - 2

Subtracting 16 from bth sides,

6x + 16 - 16 = - 2 - 16

6x = - 18

Dividing both sides by 6,

6x/6 = - 18/6

x = - 3

Solution = (- 3, 2)

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