SOLUTION: Solve the system by addition. If solution does not exist, state whether the system is inconsistent or dependent. 2x+3y=1 5x+3y=16 Show your solution below: The sol

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Question 124642: Solve the system by addition. If solution does not exist, state whether the system is inconsistent or dependent.
2x+3y=1
5x+3y=16
Show your solution below:

The solution for this system is =>

Answer by iluvbuilding429(41) (Show Source):
You can put this solution on YOUR website!
Solve the system by addition. If solution does not exist, state whether the system is inconsistent or dependent.
2x+3y=1
5x+3y=16

The first step in solving this is to multiply one of the equations so that one of the terms cancels out with the one from the other equation. Since you already have 2 3y's, all you need to do is multiply the equation by -1 so that they cancel out. This gives you these equations:
and

Since the -3y and the 3y cancel each other out, remove them from the equations:
and

When you add the terms, you get:

Divide both sides by 3:

Now, you plug this value into one of the original equations:(I'll use the first)

Multiply:

Subtract 10 from both sides:

Divide both sides by 3:

So, your answer is:
x=5 and y=-3