Question

A system of equations is shown below.

2x-6y=-6
y=1.5x-2.5
what is the value of x in the solution to the system?

Answer 1

x = 3

Explanation:

Solving systems of linear equations via substitution:

`2x-6y=-6`

`y=1.5x-2.5`

We are already given the value of y, so to find the value of x, we need to plug in the y value in the other equation.

`2x-6(1.5x-2.5)=-6`

Distribute 6

`2x-9x+15=-6`

Combine our like terms

`-7x+15=-6`

Subtract 15 to both sides

`-7x=-21\\`

Divide by -7

`x=3`