Question

Solve each of the following equations
A 2(2y-3)=5(y-1)
B 1/3 x -8=6
Give both answer with step by step explaintion

Answer 1

$\huge{ \underline{ \overline{ \mid{ \mathfrak{ \purple{ \: \: SOLUTION \: \: } \mid}}}}}$

$\bold{A.} \: \: \: \: \: \tt{2(2y - 3) = 5(y - 1)} \\ \\ \tt{ \implies\:4y - 6 = 5y - 5} \\ \\ \tt{ \implies\: 4y - 5y = - 5 - 6} \\ \\ \tt{ \implies\: - y = - 11 } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \tt{ \therefore\: \red{y = 11}}$

$\bold{B.}\: \: \: \: \: \: \: \tt{ \frac{1}{3}x - 8 = 6 } \\ \\ \tt{ \implies\: \frac{x - 24}{3} = 6 } \\ \\ \tt{ \implies\: x - 24 = 18} \\ \\ \tt{ \implies\: x = 18 + 24} \\ \\ \: \: \: \: \: \: \: \: \: \tt{ \therefore \: \: \red{x = 42}}$

Answer 2

Answer:

A. $\small\underline\textsf{Y=11 }$

B. $\small\underline\textsf{X=42 }$

$\tt{Question}\begin{cases}\tt{A.</p><p>\:\:2(2y - 3) = 5(y - 1)</p><p>} \\ \tt{B.\:\:</p><p>\frac{1}{3}x - 8 = 6 </p><p>}\end{cases}$

$\huge\underline\textsf{Explantion:- }$

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$\huge\mathtt{Question=1 }$

$\leadsto\bf\red{2(2y - 3) = 5(y - 1)}$

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$\leadsto\sf4y - 6 = 5y - 5$

$\leadsto\sf 4y - 5y = - 5 - 6$

$\leadsto\sf - y = - 11$

$\leadsto\sf y = 11$

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$\huge\mathtt{Question=2}$

$\implies\sf\green{ \frac{1}{3} x - 8 = 6}$

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$\leadsto\bf x - 24 = 18$

$\leadsto\bf x = 18 + 24$

$\leadsto\bf x = 42$

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