Solve this: 2x+y=-7y Y=x+10

In this equation, when x = -8 , Y = 2

Answer check using either equation =

(1) 2x + y = -7y   ===> 2(-8) + 2 = -7(2)  ===>  -14 = -14

(2) Y= x + 10  ===>  2 = -8 + 10  ===> 2 = 2

Step-by-step explanation:

Assuming that you are looking for "x" and "y", Let

2x + y = -7y   (1)

Y= x + 10     (2)

From equation (2), Y = x + 10, therefore substitute for "Y" in equation (1) to get the value of "x"

2x + x + 10 = -7(x + 10)

3x + 10 = -7x - 70

gather like terms on each side.

3x + 7x = -70 - 10

10x = -80

divide through by 10

x = -8

Now substitute for "x" in equation (2)

Y = x + 10

Y = -8 + 10

Y = 2