Question

solve the following equation​

Answer 1

m=4/5(m-10)

mx4/5=m-10

mx4/5+10=m

mx4+2=m

mx6=m

6=m-m

6

Answer 2

Given Equation

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$\rm\longrightarrow{m = \dfrac{4}{5} \bigg\lgroup m - 10 \bigg\rgroup}$

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To find

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$\rm\longrightarrow{Value\: of\: m}$

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Solution

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$\tt:\implies\: \: \: \: \: \: \: \: {m = \dfrac{4}{5} \bigg\lgroup m - 10 \bigg\rgroup}$

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$\tt:\implies\: \: \: \: \: \: \: \: {m = \dfrac{4(m - 10)}{5}}$

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$\tt:\implies\: \: \: \: \: \: \: \: {m = \dfrac{4m - 40}{5}}$

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$\tt:\implies\: \: \: \: \: \: \: \: {5m = 4m - 40}$

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$\tt:\implies\: \: \: \: \: \: \: \: {5m - 4m = - 40 }$

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$\frak:\implies\: \: \: \: \: \: \: \: {\underline{\boxed{\purple{m = -40}}}}$

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Hence,

• $\sf{The\: value\: of\: m\: is\: -40}$

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Let us verify our answer

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$\tt\longrightarrow{Putting\: m = -40}$

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$\tt:\implies\: \: \: \: \: \: \: \: {-40 = \dfrac{4}{5} \bigg\lgroup - 40 - 10 \bigg\rgroup}$

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$\tt:\implies\: \: \: \: \: \: \: \: {-40 = \dfrac{4 \times (-50)}{5}}$

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$\tt:\implies\: \: \: \: \: \: \: \: {-40 = \dfrac{-200}{5}}$

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$\tt:\implies\: \: \: \: \: \: \: \: {-40 = -40}$

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$\tt:\implies\: \: \: \: \: \: \: \: {LHS = RHS}$

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$\: \: \: \: \: \: \: \: \: \: \: \: \boxed{\sf{\bigstar{Hence\: Verified{\bigstar}}}}$