Question

0.4(m + 8) = 0.3 (6 – m)​

Answer 1

Question:-

Solve the following:-

0.4(m + 8) = 0.3 (6 – m)

Answer:-

• The value of m is –2.

Solution:-

$\large{ \tt : \implies \: \: \: \:0.4(m + 8) = 0.3(6 - m)}$

$\large{ \tt : \implies \: \: \: \:0.4m + 3.2 = 1.8 - 0.3m}$

$\large{ \tt : \implies \: \: \: \:0.4m + 0.3m = 1.8 - 3.2}$

$\large{ \tt : \implies \: \: \: \:0.7m = - 1.4}$

$\large{ \tt : \implies \: \: \: \:m = \frac{ - 1.4}{0.7} }$

$\large{ \tt : \implies \: \: \: \:m = - 2}$

• The value of m is –2.

Verification :-

Put –2 at the place of m

$\large{ \tt : \implies \: \: \: \:0.4( - 2 + 8) = 0.3(6 - ( - 2))}$

$\large{ \tt : \implies \: \: \: \:0.4 \times 6 = 0.3 \times 8}$

$\large{ \tt : \implies \: \: \: \:2.4 = 2.4}$

HENCE VERIFIED!!

Answer 2

$\underline{\underline{\sf{\maltese\:\:Question}}}$

$\bigstar\:\:\:\sf{0.4\left(m+8\right)=0.3\left(6-m\right)}$

$\underline{\underline{\sf{\maltese\:\:Given}}}$

$\bullet \:\:\:\sf{0.4\left(m+8\right)=0.3\left(6-m\right)}$

$\underline{\underline{\sf{\maltese\:\:To\:Find}}}$

$\sf{\bullet\:\:Value\: of \:m}$

$\underline{\underline{\sf{\maltese\:\:Answer}}}$

$\boxed{\bf{m=-2}}$

$\underline{\underline{\sf{\maltese\:\:Calculations}}}$

$\sf{0.4\left(m+8\right)=0.3\left(6-m\right)}$

$\implies\sf{0.4\left(m+8\right)\cdot \:10=0.3\left(6-m\right)\cdot \:10}$

$\implies\sf{4\left(m+8\right)=3\left(6-m\right)}$

$\implies\sf{4m+32=18-3m}$

$\implies\sf{4m+32-32=18-3m-32}$

$\implies\sf{4m=-3m-14}$

$\implies\sf{4m+3m=-3m-14+3m}$

$\implies\sf{7m=-14}$

$\implies\sf{\dfrac{7m}{7}=\dfrac{-14}{7}}$

$\boxed{\bf{m=-2}}$

$\underline{\underline{\sf{\maltese\:\:Verification}}}$

$\sf{0.4\left(m+8\right)=0.3\left(6-m\right)}$

$\bf{Substituting\:\:the\:\:value\:\:of\:\:m}$

$\implies\sf{0.4\left(-2+8\right)=0.3\left(6-(-2)\right)}$

$\implies\sf{0.4\left(6\right)=0.3\left(6+2\right)}$

$\implies\sf{2.4=0.3\left(8\right)}$

$\implies\sf{2.4=2.4}$

$\bf{L.H.S=R.H.S}$

$\underline{\underline{\tt{\clubsuit \:\:Hence \:\:Proved\:\:!!!}}}$