Question

-3x+7y=5x+2y

Complete the missing value in the solution to the equation

(x=-5, y=?)

Answer 1

-3x + 7y = 5x + 2y
-3(-5) + 7y = 5(-5) + 2y
15 + 7y = -25 + 2y
7y - 2y = -25 - 15
5y = -40
y = -40/5
y = -8

Answer 2

The missing value in the solution to the equation is -8.

Explanation:

Here, the given equation,

-3x+7y = 5x+2y,

if x = -5,

-3(-5)+7y=5(-5)+2y,

15 + 7y = - 25+2y ( by solving brackets )

15 + 7y + 25 = 2y ( add 25 both sides )

40 + 7y = 2y

40 = 2y - 7y ( subtract 7 on both sides )

40 =-5y

⇒ y = -8 ( divide both sides by 5 )

Hence, the missing value in the solution to the equation is -8.