Question

Help please ! solve for u and simplify the answer

Answer 1

5 is your answer for u.

Explanation:

Note the equal sign, what you do to one side of the equation, you do to the other.

First, multiply 15 and 5 to both sides of the equation (to get rid of the denominators):

`15 * 5 * ((u + 7)/(15)) = ((4)/(5)) * 5 * 15\\5 * (u + 7) = 4 * 15`

First, distribute the 5 to all terms within the parenthesis. Also, simplify the right side by multiplying:

`5 * (u + 7) = 4 * 15\\(5 * u) + (5 * 7) = (4 * 15)\\5u + 35 = 60`

Next, isolate the variable, u. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, subtract 35 from both sides, and then divide by 5 to isolate the variable, u:

`5u + 35 = 60\\5u + 35 (-35) = 60 (-35)\\5u = 60 - 35\\5u = 25\\\\\\(5u)/(5) = (25)/(5) \\u = (25)/(5) = 5\\u = 5`

Answer 2

u = 5

Explanation:

`(u + 7)/(15) = (4)/(5)`

We want to solve for u. This means we need to isolate u on one side of the equation.

To do this, first multiply both sides by 15. This will cancel out the denominator on the left side.

`u + 7 = ((4)/(5))((15)/(1))`

Multiply the numerators and denominators separately.

4 • 15 = 60

5 • 1 = 5

`u + 7 = (60)/(5)`

Simplify the fraction.

60 ÷ 5 = 12

u + 7 = 12

Subtract 7 from both sides.

u = 5

Check your work by plugging u = 5 back into the original equation.

`(5 + 7)/(15) = (4)/(5)`

`(12)/(15) = (4)/(5)`

`0.8 = 0.8`

Your answer is correct.

Hope this helps!