Question

Solve the equation. Simplify your answer if possible.

[ (9)(10) u - (11)(15) = (7)(25) u - 5 ]
a) ( u = (75)(19) )
b) ( u = -(75)(19) )
c) ( u = (19)(75) )
d) ( u = -(19)(75) )

Answer 1

To solve the equation, distribute and simplify the expressions, isolate the variable u, and perform the necessary operations to find the solution.

Step-by-step explanation:

To solve the equation, we need to simplify the expressions on both sides and isolate the variable u. First, we can distribute the values: (9)(10)u - (11)(15) = (7)(25)u - 5. This simplifies to 90u - 165 - 175u + 5 = 175u - 5. Combining like terms, we get -85u - 160 = 175u - 5. Next, we can move the variable terms to one side by adding 85u to both sides: -160 = 260u - 5.

After that, we can isolate the variable u by subtracting 260u from both sides: -160 - 260u = -260u. This further simplifies to -u = -160. Finally, we can solve for u by multiplying both sides by -1, giving us the final answer: u = 160.