# How do you solve the following system?: # x-7y=13 , 3x - 5y = 2 #

##### 1 Answer

Dec 17, 2015

point of intersection

#### Explanation:

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

Equation

#1# :#x-7y=13#

Equation#2# :#3x-5y=2#

#x-7y=13#

#x=7y+13#

#3x-5y=2#

#3(7y+13)-5y=2#

#21y+39-5y=2#

#16y+39=2#

#16y=-37#

#y=-37/16#

#x=7y+13#

#x=7(-37/16)+13#

#x=-259/16+13#

#x=-51/16#