Question

How many solutions exist for the system of equations 3x+y=18 3x+y=16

Answer 1

The number of solutions is 0.

Explanation:

The x and y terms are equal. The constants are different. The lines are parallel. No solution.

Answer 2

no solutions

Explanation:

Subtract the two equations

3x+y=18

-(3x+y=16)

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0 + 0 = -2

0 does not equal negative 2

This is never true so there are no solutions