Solve each equation and answer if there are infinite solutions, one solution, or no solution. If there is one solution, give the solution.

Question

-6(y+1)+8y=2(y-3)

6(u+1)-9=4(u-1)+2u

Answer 1

Simplifying the first equation:

-6(y+1)+8y = 2(y-3)
-6y - 6 + 8y = 2y - 6
2y - 6 = 2y - 6

The equation is true for all values of y. Therefore, there are infinite solutions.

Simplifying the second equation:

6(u+1)-9 = 4(u-1)+2u
6u + 6 - 9 = 4u - 4 + 2u
6u - 3 = 6u - 4

Subtracting 6u from both sides:

-3 = -4

The equation is not true for any value of u. Therefore, there are no solutions.