# How do solve the following linear system?: # 2x+5y=1 , 4x+3y=1 #?

##### 1 Answer

#### Explanation:

To solve a system of two unknowns there are more than a way.

Get rid of

Method:

1) Multiply one of the equations by an integer in such a way to obtain opposite coefficients of

2)Add both equations to obtain an equation with one unknown

3) solve for

4) Substitute

5) Solve for

Let's apply this method:

Multiply eq.1 by

Adding both equations WEl have:

then

Substitute

We can check if the values of

Substitute the values in eq1 :

Therefore ,