# How do you solve the system using the elimination method for 3x+y=5 and x-2y=4?

##### 1 Answer

#### Explanation:

Hi there,

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

We have,

**Note:** here we have unequal coefficient for both x and y. So we will first make coefficient of either x or y equal.

Here we well make coefficient of y equal by multiplying equation 1 by 2, we get

Now, we have coefficient of y equal with opposite sign, hence it can be eliminated on addition.

Adding equation 2 and 3, we get

Now divide both side by 7, we get

or,

Plug the value of x= 2 in equation 1, we get

or,

Subtract 6 on both side, we get

or,

or.

Therefore, the final answer is

To check the answer, plug

Thanks