Question

What is the result of adding these two equations? ​ 2x+3y=-5 5x-y=-12

Answer 1

`x = (-41)/(17) , y = (-1)/(17)`

Explanation:

Step(i):-

Given equations are 2 x+3 y=-5 ...(i)

5 x-y=-12 ...(ii)

Multiply equation (ii) by '3'

2 x + 3 y = -5

15 x - 3 y = - 36

17 x = - 41

`x = (-41)/(17)`

Step(ii):-

Substitute
`x = (-41)/(17)` in equation (i)

2 (
`(-41)/(17)`+3 y=-5

3 y = - 5 +
`(82)/(17)`

`3 y = (-85 + 82)/(17) = (-3)/(17)`

`y = (-1)/(17)`

The solution of the two equations

( x, y ) =
`((-41)/(17) , (-1)/(17))`