# A system of equations contains the lines x+4y=2 and x−2y=c. When solving the system algebraically, it is determined that x=6. What is the value of c in the second equation?

##### 1 Answer

Apr 12, 2018

c=8

#### Explanation:

- To solve this problem you must begin by substituting 6 for x.

6+4y=2 and 6-2y=c - Solve each for y.

y=#1/2# -#3/2# and y=#-c/2# + 3 - Set the equations equal to each other.

#1/2# -#3/2# =#-c/2# + 3 - Multiply everything by 2 to cancel out the denominators.

1-3=-c+6 - Simplify

-2=-c+6 - Solve for c by subtracting 6 and dividing by -1.

c=8