Question

solve for u. 14u + 7u - 17 = 4

Explanation:

Step1: Combine like terms on the left

First, we combine the \(u\)-terms on the left side of the equation \(14u + 7u-17 = 4\). Combining \(14u\) and \(7u\) gives \(21u\), so the equation becomes \(21u-17 = 4\).

Step2: Add 17 to both sides

To isolate the term with \(u\), we add 17 to both sides of the equation. So, \(21u-17 + 17=4 + 17\), which simplifies to \(21u=21\).

Step3: Divide both sides by 21

Now, we divide both sides of the equation \(21u = 21\) by 21. This gives \(\frac{21u}{21}=\frac{21}{21}\), so \(u = 1\).

Answer:

\(u = 1\)