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