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−6x−y=9−2x+10y=−28 please help me

Sagot :

We have to solve the linear system:

-6x - y = 9

-2x + 10y = -28

Multiply both sides of the first equation by 10:

-60x - 10y = 90

-2x + 10y = -28

Now sum both equations, we get:

-60x - 2x -10y + 10y = 90 - 28

-62x + 0 = 62

-62x = 62

x = 62 / -62

x = -1

Now lets find y. I'm going to use the first equation since it is easier to do the math:

-6x - y = 9

-6(-1) - y = 9

6 - y = 9

-y = 9 - 6

-y = 3

y = -3

So the solution of the linear system is x = -1, y = -3 or simply (-1, -3).

Answer: x = -1 ; y = -3