Question

How do you solve 3x+2=y and -9x+3y=11?

Answer 1

The equations have no solution.

Explanation:

Re-write te equations so you have only constants on the RHS

Eqn 1: `3x -y = -2`
Eqn 2: `-9x +3y=11`

Multiply Eqn 1 by 3 to make the x coefficient the same, so you have:

Eqn 1: `9x -3y = -6`
Eqn 2: `-9x +3y=11`

Add Eqn 1 & 2, you will get an inequality as both x and y terms cancell out.
`0 =9` which is an inequality.

This means the two equations cannot be resolved, so in terms of geometry, they are two lines which do not intersect.