# How do you solve the following system?: #x +3y =8 , 6x +4y = -3#

##### 1 Answer

The values

#### Explanation:

It is always helpful to start with drawing the two equations as graphs in a diagram, not least as a check that our solution makes sense:

We want to find a value of x and y which fulfill both equations at the same time, i.e. it must be on both lines f and g on the figure above.

As

(1)

Insert this value for x in the second equation. To make the solution simpler to follow I will write it as

The last expression can be written as

Insert this in expression (1):

Our solution, therefore, is

If we convert these two values to decimal numbers, we see that it agrees with our graph.