Question

(b) solve for u. 4(u + 1) - 7 = 3(u - 1) + u no solution u = all real numbers are solutions

Explanation:

Step1: Expand both sides

Expand the left side: \(4(u + 1)-7 = 4u+4 - 7=4u - 3\)
Expand the right side: \(3(u - 1)+u=3u-3 + u = 4u-3\)

Step2: Analyze the equation

We have the equation \(4u - 3=4u - 3\). Subtract \(4u\) from both sides: \(4u-4u - 3=4u-4u - 3\), which simplifies to \(-3=-3\). This is a true statement for all real values of \(u\).

Answer:

All real numbers are solutions