# How do solve the following linear system?: # 11x + 3y + 7 = 0 , -6x-2y=-8 #?

##### 2 Answers

#### Explanation:

Multiplying the first equation by

so

plugging this in the second equation

#### Explanation:

Given

[1]

[2]

To make this easier to work with I will convert [1] into the same standard form as [2] by subtracting

[3]

We need to eliminate one of the variables (either

For example, we might decide to eliminate the term containing the variable

To do this we need to convert equations [2] and [3] into equivalent forms with identical magnitude coefficients for

The least common multiple for the (magnitude of)coefficients of

Multiplying [2] by

[4]

Multiplying [3] by

[5]

Now if we add [4] and [5], we can eliminate the

[6]

Dividing both sides of [6] by

[7]

We can now substitute

[8]

Simplifying

[9]

[10]

[11]

Giving the final solution

and

[Since we used [2] to develop the value for