Substution for 7x-y=2 and 3y-2x=13

For solving system of equations, we can use either substitution where we plug one equation into the other, or elimination where we combine the equations.

- Using substitution means you are going to solve one equation for one variable and substitute with its value in the other equation in order to get also an equation with one variable.

7x-y=2 >>> y = 7x - 2

substitute with this into the second equation (3y-2x=13):

3 (7x - 2) - 2x = 13

Simplify:

21x - 6 - 2x = 13

Combine like terms:

19x = 13+6 = 19

19x = 19

x = 1

Now, plug in (x=1) into any given equation:

7 (1) - y=2

7 - y = 2

y = 5

y = 7-2 = 5

Your values of x and y are 1 and 5, respectively.

I hope you got the idea