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

You should be fine.Step-by-step explanation:...

What is the result of adding these two equations?

endyrocks19

28.01.2022

$x = \frac{-41}{17} , y = \frac{-1}{17}$

Step-by-step 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

$x = \frac{-41}{17}$

Step(ii):-

Substitute $x = \frac{-41}{17}$ in equation (i)

2 ( $\frac{-41}{17}$ +3 y=-5

3 y = - 5 + $\frac{82}{17}$

$3 y = \frac{-85 + 82}{17} = \frac{-3}{17}$

$y = \frac{-1}{17}$

The solution of the two equations

( x, y ) = $(\frac{-41}{17} , \frac{-1}{17})$

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