# Question #59cd3

##### 2 Answers

The solution to the system of equations is

#### Explanation:

Given:

We have a system of equations in which we have two unknowns,

So we have:

We have to decide which variable we want to solve for first. This means that we will have to get rid of or "eliminate' a variable also known as applying the elimination method. It does not matter which variable you choose to solve for first BUT in terms of mathematical computations, it's best to go with the one with less math.

Thus we can add the two equations to eliminate the

Now all we have is a simple equation that we can easily for

Now that we have found the

So

So we have arrived at the solution

We shall verify that this indeed is the solution by substituting the

Check 1:

Check 2:

So yes, the answers check and therefore the solution is indeed

Here is the solution graphically:

#### Explanation:

Because both of the

That will leave you with an equation with just one unknown (namely, the

**Add the equations to let the #y# terms drop out**

.......................................

1) Divide both sides by

2) Reduce to lowest terms

*_**_**_***_**_

**Use the value of #x# to find the value of #y#**

1) Sub in

2) Clear the fraction by multiplying all the terms on both sides by

3) Subtract

4) Divide both sides by

5) Reduce to lowest terms

*_**_**_***_**_

Answer:

*_**_**_***_**_

**Check**

Sub in the values for

Clear the parentheses by distributing the

Add the fractions, which already have a common denominator

Write the fraction in lowest terms