# How do you solve the following system: #7y - 2x = 10, -5x − y = 14 #?

##### 1 Answer

Jan 28, 2016

#### Explanation:

Let's solve the second equation for y, which should be simply since it doesn't have a coefficient. It starts off as:

Add y to both sides and subtract 14 from both sides:

Now we can plug that into the second equation:

Multiply through: (tip:

Consolidate

Add

Divide by

Now plug that back into the initial equation:

Add

Get a common denominator for

Subtract: