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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 = = = .
The solution is unique.
There is only one solution.
There are no more solutions.