For each equation, choose the statement that describes its solution.

If applicable, give the solution.
4(u-1)+7=5(2u-3)

1 answer

The statement that describes the solution of the equation 4(u-1)+7=5(2u-3) is "There is a unique solution."

Solution:
To solve the equation, we will distribute the coefficients and simplify:

4(u-1) + 7 = 5(2u-3)
4u - 4 + 7 = 10u - 15
4u + 3 = 10u - 15

Next, we will isolate the variable terms on one side and constant terms on the other side:

4u - 10u = -15 - 3
-6u = -18

Next, we will divide both sides of the equation by -6 to solve for u:

u = -18 / -6
u = 3

Therefore, the solution to the equation is u = 3.