# How do you solve #2x + y = 5# and #y = 3x + 2# using substitution?

##### 1 Answer

Apr 7, 2015

Label the equations with numbers:

As we can see in both equations, the similar variable is

We can get rid of the value

Here, we can see that y=3x+2(2) and that we can place y=3x+2 (2) into the **y** variable in (1)

2x+ **y** =5 (1)

**y** =3x+2(2)

After substituting (2) into (1), we get:

2x+(3x+2)=5

Simplify the equation...

5x+2=5

Now, we can find x

5x=5-2

5x=3

x=

Now, we have to find y.

We can substitute x=**y** =3x+2(2) to find y.

y=3x

Hence, y=3.8 and x=0.6 (0.6,3.8)