SOLUTION: How many solutions are there in the following systems of equations? 1. y=5x+3 y=9+x

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Question 1010122: How many solutions are there in the following systems of equations?
1. y=5x+3
y=9+x

Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
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How many solutions are there in the following systems of equations?
1. y=5x+3
y=9+x
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Since the left sides of these equations are identical, the right sides are equal. 

It gives an equation

5x + 3 = 9 + x.

Simplify and solve it:

5x - x = 9 - 3,

4x = 6,

x = 6%2F4 = 12%2F4 = 11%2F2.

The solution is unique.

There is only one solution.

There are no more solutions.