Question

Solve the following system of equations. What is the y value of the solution?

x + 5y - 10 = 0
X = 4y - 8

Answer 1

y = 2

Explanation:

Given

x + 5y - 10 = 0

x = 4y - 8

y ?

To get y , substitute 4y - 8 in place of x in the first equation.

That is

4y - 8 + 5y - 10 = 0

It can also be written as

4y + 5y - 8 - 10 = 0

9y -18 = 0

Add 18 to both sides of the equation.

We have 9y - 18 + 18 = 0 +18

9y = 18

Now divide both sides by 9 to get y. We’re dividing both sides by 9 because 9 is the value attached to the unknown y.

9y/9 = 18/9

y = 2

Answer 2

y = 2

Explanation:

x + 5y - 10 = 0

X = 4y - 8

since x is given as = 4y - 8 we can use this in first equation

replace x with 4y - 8

x + 5y - 10 = 0 ➡ 4y - 8 + 5y - 10 = 0 add like terms

9y - 18 = 0 add 18 to both sides of the equation

9y = 18 divide both sides by 9

y = 2