Question

How do you find the solution of the system of equations `3x - 5y = 13` and `x - 2y = 5`?

Answer 1

Isolate one variable in one equation and then substitute the value of it in the other.

Let's isolate `x` in the second equation and then substitute its value in the first.

`x=5+2y`

`3(5+2y)-5y=13`
`15+6y-5y=13`
`y=-2`

As `x=5+2y`, then `x=5+2(-2)=1`

So, `y=-2` and `x=1`