Question

Please help Solve show all of your work and check your solution 5. 5/6 x =4 2. 2/5 x =42

Answer 1

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 5

$\frac{5}{6}x=4\\ \\\frac{5}{6}x*6=4*6\\ \\5x=24\\\\\frac{5x}{5}=\frac{24}{5}\\ \\ x=\frac{24}{5}$

Check solution:

$\frac{5}{6}(\frac{24}{5})\stackrel{?}{=}4\\ \\\frac{5*24}{6*5}\stackrel{?}{=}4\\ \\\frac{120}{30}\stackrel{?}{=}4\\ \\4=4$

Problem 6

$\frac{2}{5}x=42\\ \\\frac{2}{5}x*5=42*5\\ \\2x=210\\\\\frac{2x}{2}=\frac{210}{2}\\ \\ x=105$

Check solution:

$\frac{2}{5}(105)\stackrel{?}{=}42\\ \\\frac{2*105}{5}\stackrel{?}{=}42\\\\\frac{210}{5}\stackrel{?}{=}42\\\\42=42$