# How do you solve #x+2y=8# and #x-2y=4#?

##### 1 Answer

#### Explanation:

Hi there,

The given system of an equation can be solved by using various method such as elimination, substitution, by graphing, trial and error methods.

Here we will use elimination method to solve the given system of an equation.

We have,

**Note:** here we have equal coefficient with same sign for x and opposite sign for y. Hence it can be solve either by addition or subtraction.

Adding equation 1 and 2, we get

Now divide both side by 2, we get

or,

Plug the value of x= 6 in equation 1, we get

Subtract 6 on both side, we get

or,

or.

Divide each side by 2, we get

or,

Therefore, the final answer is

To check the answer, plug

Thanks