Question 65658
Solve each system by addition. If a unique solution does not exist, state whether the system is consistent or dependent. 
(1)   2x +3y = 1
(2)   5x +3y = 16

First, multiply (1) by -1 and we get:


(1)   -2x -3y = -1
(2)   5x +3y = 16

Next, add (1) and (2) and we have:

3x=15
x=5

Substitute x=5 in (1):

(2)(5)+3y=1

10+3y=1  subtract 10 from both sides
3y=-10+1
3y=-9
y=-3

ck
substitute in (1)
(2)(5)+(3)(-3)=1
10-9=1
1=1

Substitute in (2)
(5)(5)+3(-3)=16
25-9=16
16=16

Hope this helps----ptaylor