Question

How do you solve the system of equations `-\frac { 3} { 4} x - \frac { 2} { 3} y = - 1` and `\frac { 1} { 2} x - \frac { 5} { 6} y = - 7`?

Answer 1

Like this.

Explanation:

`1.` Start: `-3/4x-2/3y=-1`

Move the `-3/4x` over
(`-2/3y=-3/4x-1`)

Multiply by y's reciprocal
(`y=9/8x+3/2`)

`2.` Start: `1/2x-5/6y=-7`

Move the `1/2x` over
(`-5/6y=1/2x-7`)

Multiply by y's reciprocal
(`y=-6/10x+35/6`)

Reduce answers
(`y=-3/5x+35/6`)