Question

How do you solve the following system: `-6x + 5y = 4 , x-10y=10`?

Answer 1

`x=-18/11`, `y=-64/55`

Explanation:

To solve by elimination you will need to make coefficients of x or y "match" so that when you add or subtract the equations one of the variables will be eliminated.

If we double the first equation we get:

`-12x + 10y = 8`

`x - 10y = 10`

Now if we add the two new equations, we will eliminate y and will be able to solve an equation in x.

`-11x = 18 implies x=-18/11`

Substitute this back into one of the original equations to find y.

`-6*-18/11 + 5y =4`
`108/11 +5y = 4`
`5y=-64/11`
`y=-64/55`