# How do you solve the following system?: # x - 3y = 0 , x = 1/2y + 3 #

##### 1 Answer

point of intersection

#### Explanation:

When you solve a system, you are finding the point(s) at which the two lines intersect. We can solve a system by using elimination or substitution. In this case, we will use substitution.

To solve the system, we need to find the values of

Equation

#1# :#x-3y=0#

Equation#2# :#x=1/2y+3#

#x-3y=0#

#(1/2y+3)-3y=0#

#(1/2y+6/2)-6/2y=0#

#(y+6)/2-6/2y=0#

#(y+6-6y)/2=0#

#-5y+6=0#

#-5y=-6#

#y=6/5#

#x-3y=0#

#x-3(6/5)=0#

#x-18/5=0#

#x=18/5#