Question

How can I solve it I need step by step on how to do it please help

Answer 1

Explanation

There are a lot of methods to solve a 2x2 system of linear equations. In our case, I propose to use the Elimination method. It says that we must add or subtract the multiples of the equations so that one variable be eliminated.

Let's add both equations:

Solving the last equation, we obtain

$\begin{gathered} 3x=1, \\ \\ x=\frac{1}{3}\text{.} \end{gathered}$

Now, let's replace this value of x into the second equation and solve:

$\begin{gathered} 6(\frac{1}{3})+4y=3, \\ \\ 2+4y=3, \\ \\ 4y=3-2, \\ \\ 4y=1, \\ \\ y=\frac{1}{4}\text{.} \end{gathered}$Answer

The solution of the given system of linear equations is

$x=\frac{1}{3},y=\frac{1}{4}\text{.}$