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

See below for answers and explanations

Explanation:

Problem 5

`(5)/(6)x=4\\ \\(5)/(6)x*6=4*6\\ \\5x=24\\\\(5x)/(5)=(24)/(5)\\ \\ x=(24)/(5)`

Check solution:

`(5)/(6)((24)/(5))\stackrel{?}{=}4\\ \\(5*24)/(6*5)\stackrel{?}{=}4\\ \\(120)/(30)\stackrel{?}{=}4\\ \\4=4`

Problem 6

`(2)/(5)x=42\\ \\(2)/(5)x*5=42*5\\ \\2x=210\\\\(2x)/(2)=(210)/(2)\\ \\ x=105`

Check solution:

`(2)/(5)(105)\stackrel{?}{=}42\\ \\(2*105)/(5)\stackrel{?}{=}42\\\\(210)/(5)\stackrel{?}{=}42\\\\42=42`