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

Mar 5, 2018

The equations have no solution.

#### Explanation:

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

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

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

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

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.