Question

What is the result of adding these two equations?

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



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Answer 1

When adding these two equations we get the value of x is
`(14)/(3)` and y is
`(52)/(3)`

Therefore
`x=(14)/(3)` and and
`y=(52)/(3)`

Explanation:

Given two equations are
`5x-y=6\hfill (1)`
`-2x+y=8\hfill (2)`To find the addition of these two given equations :

Adding the equations (1) and (2) we get

5x-y=6

-2x+y=8

_______

3x=14

`x=(14)/(3)`

Substitute the value
`x=(14)/(3)` in equation (1) we get

`5((14)/(3))-y=6`

`-y=6-(70)/(3)`

`-y=(18-70)/(3)`

`-y=-(52)/(3)`

Therefore
`y=(52)/(3)`

When adding these two equations we get the value of x is
`(14)/(3)`

Therefore
`x=(14)/(3)` and
`y=(52)/(3)`

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