Question

5 (u - 5) + 6u = 8 solve for u and simplifly your answer as much as possible

Answer 1

u = 3

Explanation:

Step 1: Distribute 5 in u - 5

`\displaystyle{5\cdot u - 5\cdot 5 +6u=8}\\\\\displaystyle{5u-25+6u=8}`

Step 2: Add like terms together (u-term)

`\displaystyle{11u-25=8}`

Step 3: Add both sides by 25

`\displaystyle{11u-25+25=8+25}\\\\\displaystyle{11u=33}`

Step 4: Divide both sides by 11

`\displaystyle{(11u)/(11)=(33)/(11)}\\\\\displaystyle{u=3}`

Answer Check

Step 1: Substitute u = 3 in the equation

`\displaystyle{5(3-5)+6(3)=8}`

Step 2: Evaluate & Simplify

`\displaystyle{5(-2)+18=8}\\\\\displaystyle{-10+18=8}\\\\\displaystyle{8=8}`

Since the equation is true after substituting u = 3. Therefore, the answer is u = 3.

Please let me know if you have any questions!