Question

2x/3 + 5=x/4 - 7 1/2. Find x and verify your answer.

Answer 1

Answer:

x=6

Step-by-step explanation:

$\frac{x}{y} \frac{x}{y} \frac{2x}{3} +5=\frac{x}{4} -7\frac{1}{2} \\\frac{2x}{3} +5=\frac{x}{4} -\frac{15}{2} \\\frac{2x}{3}-\frac{x}{4} =-\frac{15}{2} -\frac{5}{1} \\\ \frac{8x}{} = \frac{-15-10}{2} \\\frac{5x}{12} = \frac{-25}{2}\\ x=\frac{-25}{2}*\frac{12}{5} \\x=6$

Please mark it as the Brainliest as i tried hard to write this on a computer.

Answer 2

$\huge\underline\red{QUESTION}$

2x/3+5=x/4-71/2

Find the value of x and verify it

$\huge\underline\red{SOLUTION}$

$\huge\frac{2x}{3}+5=\huge\frac{x}{4}-\huge\frac{15}{2}$

$\huge\frac{2x}{3}-x=\huge\frac{-15}{2}-5$

$\huge\frac{8x-3x}{12}=\huge\frac{-15-10}{2}$

$\huge\frac{5x}{12}=\huge\frac{-25}{2}$

$\huge{x}=\huge\frac{12×(-25)}{5×2}$

$\huge{x}={-30}$

$\huge\underline\red{VERIFICATION}$

$\huge\frac{2x}{3}+5=\huge\frac{x}{4}-\huge\frac{15}{2}$

LHS

Putting the value of x

$\huge\frac{2x}{3}+5$

$\huge\frac{2×(-30)}{3}+5$

$\huge{-20}+5$

$\huge{-15}$

RHS

putting the value of x

$\huge\frac{x}{4}-\huge\frac{15}{2}$

$\huge\frac{-30}{4}-\huge\frac{15}{2}$

$\huge\frac{-15}{2}-\huge\frac{15}{2}$

$\huge\frac{-15-15}{2}$

$\huge\frac{-30}{2}$

$\huge{-15}$

Hence,

LHS = RHS --- verified