Question

2x + y = 20
6x – 5 y= 12

Answer 1

(-2x + 10) - (-6x + 5y + 12) + (x + 8y - 16)

=(-2*5 + 10) - (-6*5 + 5*-4 + 12) + (5 + 8*-4 - 16)

= (-10 + 10) - (-30 - 20 + 12) + (5 -32 - 16)

= 0 - (-38) + (-43)

= 38 - 43

= -5

Answer 2

hi

Explanation:

We see a set of linear equations. Hence, a system of linear equations. So we solve them by process of elimination, multiplying the top equation by 5 to eliminate first such that

(2x+y=20)*5

6x-5y=12

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10x+5y=100

6x-5y=12

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16x = 112 .............After dividing 16 we get

x = 7

Now we plug x = 7 back into the original first equation to obtain the y value such that

2(7) + y = 20

12 + y = 20

-12 -12

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y = 8

I hope this helped!