Question

slove the following equation and verify your answer​

Answer 1

《11》

$\huge\underbrace\bold\red{SOLUTION}</p><p>$

$\color{red}\bold</p><p>{ \frac{5(x + 6) - 15(2 - x)}{3x - 1} = 10}$

$\color{blue}\bold</p><p>{ = > \frac{5x + 30 - 30 + 15x}{3x - 1} = 10}$

$\color{indigo}\bold</p><p>{ = > \frac{5x + 15x + 30 - 30}{3x - 1} = 10}$

$\color{green}\bold</p><p>{ = > \frac{20x}{3x - 1} = 10 }$

$\color{orange}\bold</p><p>{ = > 20x = 30x - 10}$

$\color{skyblue}\bold</p><p>{ = > 20x - 30x = - 10}$

$\color{blue}\bold</p><p>{ = > - 10x = - 10}$

$\color{green}\bold</p><p>{ = > x = \frac{ - 10}{ - 10} }$

$\color{red}\bold</p><p>{ = > x = 1}$

$\huge\underbrace\bold\red{</p><p>VERIFICATION}</p><p>$

$\color{red}\bold</p><p>{LHS \: = \frac{5(x + 6) - 15(2 - x)}{3x - 1} }$

$\color{blue}\bold</p><p>{ = \frac{5(1 + 6) - 15(2 - 1)}{3 \times 1 - 1} }$

$\color{green}\bold</p><p>{ = \frac{5 \times 7 - 15 \times 1}{3 \times 1- 1} }$

$\color{orange}\bold</p><p>{ = \frac{35 - 25}{2} }$

$\color{blue}\bold</p><p>{ = \frac{20}{2} }$

$\color{indigo}\bold</p><p>{ = 10}$

$\color{blue}\bold</p><p>{RHS = 10}$

$\color{red}{ \boxed{hence \: verified}}</p><p>$

《14》

$\huge\underbrace\bold\red{SOLUTION}</p><p>$

$\color{blue}\bold</p><p>{ \frac{2 + 3y}{1 + 5y} = \frac{4}{3} }$

$\color{red}\bold</p><p>{ = > 6 + 9y = 4 + 20y}$

$\color{green}\bold</p><p>{ = >9y - 20y = 4 - 6 }$

$\color{black}\bold</p><p>{ = > - 11y = - 2}$

$\color{blue}\bold</p><p>{ = > y = \frac{ - 2}{ - 11} }$

$\color{red}\bold</p><p>{ = > y = \frac{2}{11} }$

$\huge\underbrace\bold\red{</p><p>VERIFICATION}</p><p>$

$\color{blue}\bold</p><p>{LHS = \frac{2 + 3y}{1 + 5y} }$

$\color{red}\bold</p><p>{ = \frac{2 + 3 \times \frac{2}{11} }{1 + 5 \times \frac{2}{11} } }$

$\color{orange}\bold</p><p>{ =2 + 3 \times \frac{2}{11} \div 1 + 5 \times \frac{2}{11} }$

$\color{green}\bold</p><p>{ = 2 + \frac{6}{11} \div 1 + \frac{10}{11} }$

$\color{black}\bold</p><p>{ = \frac{22 + 6}{11} \div \frac{11 + 10}{11} }$

$\color{blue}\bold</p><p>{ = \frac{28}{11} \div \frac{21}{11} }$

$\color{red}\bold</p><p>{ = \frac{28}{11} \times \frac{11}{21} }$

$\color{blue}\bold</p><p>{ = \frac{4}{3} }$

$\color{red}\bold{ RHS = \frac{4}{3} }$

$\color{red}{ \boxed{hence \: verified}}</p><p>$