# How do solve the following linear system?: # 4y-16=x , 2x+7=-5y #?

##### 3 Answers

#### Explanation:

The first equation already has

Rearrange the equation to have all unknowns on one side.

Now substitute the

#### Explanation:

Given

[1]

[2]

[1]

[3]

Using [3] we can replace

[4]

Expanding and simplifying the left side of [4]

[5]

Adding

[6]

Dividing both sides of [6] by

[7]

Using [7] we can replace

[8]

Simplifying [8]

[9]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The ugliest part is probably verifying this result by putting the derived values for

...with values like these, I would suggest you go to the effort to verify the results (despite the ugliness). Personally I used a spread sheet for this but you might want to use some other method.

#### Explanation:

Substitute

Multiply both sides by 13

Check:

Substitute

Multiply both sides by 65