Exam 3: Simple Equations and Word Problems

A horizontal beam of negligible weight is $12.0 \mathrm{~m}$ long and is supported by columns at each end. A vertical load of $6500 \mathrm{~kg}$ is applied to the beam $x$ metres from the left end. Find $x$ so that the reaction at the left column is $3800 \mathrm{~kg}$ .

Solve and check this equation: $3 x+7-3 x=6-5 x$

Solve and check this equation: $\frac{x}{4}=16$