Value of x in the solution to the system of equations.

6x+3y=13

3x-y=4

The two easiest ways to solve a system of equations (in my opinion) are to add the equations together while getting rid of a variable, or solving for a variable in one equation and plugging it into another. The latter is the method I will use.

3x - y = 4 (solve for y)

3x = 4 + y

3x - 4 = y

y = 3x - 4

Now we can plug y into the other equation:

6x + 3y = 13

6x + 3 (3x - 4) = 13

6x + 9 x - 12 = 13

15x = 25

x = 25/15

x = 5/3

The answer is x = 5/3

If you ever needed to find y as well, you can plug this into either equation to find y.

3x - y = 4

3 (5/3) - y = 4

5 - y = 4

y = 1