Question

Explain how you would solve the following system of equations using substitution. math step in your explanation, too!! This is the system that you should use: y= 4x -5 y = 3x -3

Answer 1

`x=2\\y=3`

Explanation:

Solve by substitution method

`y=4x-5\\y=3x-3`

First, solve
`y=4x-5` for
`y`:

Substitute
`4x-5` for
`y` in
`y=3x-3`

`y=3x-3`

`4x-5=3x-3`

`4x-3x=5-3`

`x=2`

Now that we have the value of x

substitute
`2` for
`x` in
`y=4x-5`

`y=4x-5`

`y=4(2)-5`

`y=8-5`

`y=3`

∴ The value of
`x` is
`2` and the value of
`y` is
`3`