# How do you solve the system #4x+4y+z=24#, #2x-4y+z=0#, and #5x-4y-5z=12#?

##### 1 Answer

Add the equations to eliminate variables and solve.

#### Explanation:

Choose two equations that will easily cancel out.

The y's cancel out, leaving you with

Choose another two equations to get another binomial.

Again, the y's cancel out, leaving you with

Use substitution, making

You can then use this value in the equation

With these two values you can use any of the original equations to find the remaining value.

The final values are

This can be checked by plugging these values into the two remaining original equations.