Question

Fill in the blanks so that the equation has infinitely many solutions

5y + 6+ 7y = (blank) (6y + (blank))

Answer 1

5y+7y+6= 12y+6

= 2(6y+3)

Answer 2

2(6y + 3)

Explanation:

for the equation to have infinitely many solutions, then both sides must be equal.

consider left side

5y + 6 + 7y ← collect like terms

= 12y + 6 ← factor out 2 from each term )

= 2(6y + 3)

then

5y + 6 + 7y = 2(6y + 3) ← has infinitely many solutions