Question

elimination
Please solve it fast

Answer 1

[refer the attachment ]

Answer 2

We are given two equations. 

Equation (1) is : x + y = -3

Equation (2) is : 5x + 7y = -9

In order to solve this, we have to multiply ALL of equation #(1) by 5, so that both equations have "5x" in it.

Equation (1): 5(x + y) = 5(-3)

Simplify.

5x + 5y = -15

This new equation is now being called equation #(3).

So, line up equations #(2) and #(3).

Equation (2) : 5x + 7y = -9

Equation (3) : 5x + 5y = -15

Notice how the x's, y's, and regular numbers are lined up with one another. Using that, we can subtract equation #(3) from #(2).

5x - 5x = 0

7y - 5y = 2y

-9 -(-15) = 6

So, we now have this : 

2y = 6

Divide both sides by 2.

$\dfrac{2\text{y}}{2} = \dfrac{6}{2}$

Simplify.

y = 3

So, now that we have the value of y, simply plug in 3 for y in equation #(1).

Equation (1) : x + y = -3

x + (3) = -3

Subtract 3 from both sides.

x + 3 - 3 = -3 - 3

Simplify.

x = -6

So, the answers are :

x = -6, y = 3