Question

How do you solve the system of equations `y=5x-8` and `4x+3y=33`?

Answer 1

Substituting the variable of one equation into the other.

Explanation:

A system of equations are two or more equations that has to be valid at the same time. It means that the variables of one equation can be substitute in the other equation.

For example we have `y=5x-8` and we can substitute this value of `y` in the other equation

`4x+3y=33`

`4x+3(5x-8)=33` we can solve now for `x`

`4x+15x-24=33`

`19x=33+24`

`19x=57`

`x=57/19=3`.

`y` can be obtained from the first equation

`y=5x-8`

`y=5*3-8=15-8=7`

Then `x=3` and `y=7`.