Question

PLEASE HELP!!! Solving equations with substitution! I don't really know how to solve it.

Answer 1

Steps:

So with using the substitution method, to be able to do so you must have one of the equations isolated with one of the variables. In this case, we see that the first equation has the y variable isolated. Now with this, we are going to substitute y in the second equation for 2x since y = 2x:

`-6x+6(2x)=6`

From here, we can solve for x:

`-6x+6(2x)=6\\-6x+12x=6\\6x=6\\x=1`

Since we have the x-value, substitute x for 1 into either equation to solve for y as such:

`y=2*1\\y=2\\\\-6(1)+6y=6\\-6+6y=6\\6y=12\\y=2`

Answer:

In short:

• x = 1
• y = 2

Answer 2

x = 1

y = 2

Explanation:

y = 2x

-6x + 6y = 6

-6x + 6(2x) =6 Substitute the fist equation for the value of y

-6x + 12x = 6 Combine like terms

6x = 6 divide

x = 1

Then, substitute the value of x in the equation for y

y = 2x y = 2(1)

y = 2