Question

How do solve the following linear system?: `-2x + 3y = -19 , x - 3y = -6`?

Answer 1

See details below

Explanation:

`-2x+3y=-19`
`x-3y=-6`

We can use three methods to resolve. In this case we will use substitution

Express `x` in second equation `x=-6+3y`. Now make the substitution in the first one

`-2(-6+3y)+3y=-19`. Lets operate and transpose terms

`12-6y+3y=-19`;

`-3y=-19-12=-21`. Then `y=-21/-3=7`

Now lets find `x` from the expresion `x=-6+3y=-6+21=15`

The solution is `x=15` and `y=7`