2x+y=20 6x-5y=12. How to solve?

Answer 1

Greetings! Lets solve this shall we !?

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!

Answer 2

2x + y = 20

6x -5y =12

It is a toss up whether to use elimination or substitution; I usually prefer the former.

Multiply the first equation by 3 : 6x + 3y = 60

Subtract the 2nd equation from the first: 8y = 48

y=6

Use this value on y in the 1st equation to get x.