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zmey [24]
3 years ago
15

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

Mathematics
1 answer:
AleksandrR [38]3 years ago
4 0

Answer:

x=-2\\y=2

Step-by-step explanation:

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

Let's multiply the first equation by 7 and the second equation by -2

(7)(-2x+6y=6)\\(-2)(-7x+8y=-5)

-14x+42y=42\\14x-16y=10

Now add them together. In this step, x is eliminated.

26y=52

Divide by 26.

y=\frac{52}{26}\\ y=2

Now plug this into any of the two equations to find x.

-2x+6y=6\\-2x+6(2)=6\\-2x+12=16\\-2x=16-12\\-2x=4\\x=\frac{4}{-2}\\ x=-2

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