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Determining the Number of Solutions to a Linear Equation
Worksheet
Grade Level
Grade 8
8.67 Determining the Number of Solutions to a Linear Equation
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Decide whether 2(-5t + 6) + 6t - 11 = -(4t - 8) - 10 has one solution, no solution, or infinitely many solutions.
A
It has no solution because the variable terms cancel and leave 1 = -2, a contradiction.
B
The equation has exactly one solution because the variable shows up on both sides.
C
There are infinitely many solutions because the variable terms can be moved around.
D
The only possible solution is t = 0.
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