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Ahat [919]
2 years ago
6

For what number c does the equation 7y+3c=9y+12-2y+3 have infinity many solutions for y

Mathematics
1 answer:
grin007 [14]2 years ago
8 0
<h3>Answer:   5</h3>

Work Shown:

7y+3c=9y+12-2y+3

7y+3c=(9y-2y)+(12+3)

7y+3c=7y+15

3c=15

c = 15/3

c = 5

The steps above show that the y terms cancel. Solving for c leads to 5. If c is this value, then the original left and right hand sides are identical. Two sides being identical lead to infinitely many solutions. If c \ne 5, then there are no solutions for y.

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