Question

Question: -

If x = m + 1, find the value of m from the equation $\sf \dfrac{1}{2}(5x-6)- \dfrac{1}{3}(1+7x)= \dfrac{1}{2}$​

Answer 1

hope this helps you always

Answer 2

$\qquad\large \underline{\pmb{\sf {To\: Find :-}}}$

• Value of m

$\qquad\large \underline{\pmb{\sf {Solution :-}}}$

$\pink{\: \: \: \: \: \: \: \: \: \:\:: \implies \sf \dfrac{1}{2}(5x-6)- \dfrac{1}{3}(1+7x)= \dfrac{1}{2}}$

$\: \: \: \: \: \: \: \: \: \:\:: \implies \sf\dfrac{5x-6}{2} - \dfrac{1 +7x}{3} =\dfrac{1}{2}$

$\: \: \: \: \: \: \: \: \: \:\:: \implies \sf \dfrac{3(5x-6)-2(1+7x)}{6}=\dfrac{1}{2}$

$\: \: \: \: \: \: \: \: \: \:\:: \implies \sf \dfrac{15x-18-2-14x}{6}=\dfrac{1}{2}$

$\: \: \: \: \: \: \: \: \: \:\:: \implies \sf \dfrac{x-20}{6}=\dfrac{1}{2}$

$\: \: \: \: \: \: \: \: \: \:\:: \implies \sf 2(x-20)=6$

$\: \: \: \: \: \: \: \: \: \:\:: \implies \sf x - 20 = \dfrac{6}{2}$

$\: \: \: \: \: \: \: \: \: \:\:: \implies \sf x - 20 = 3$

$\: \: \: \: \: \: \: \: \: \:\:: \implies \sf x = 3 + 20$

$\sf \: \: \: \: \: \: \: \: \: \:\::\implies{\underline{\boxed{\frak{\pink{x=23}}}}}\:\bigstar$

$\qquad$ According to the question :-

$\: \: \: \: \: \: \: \: \red{\: \:\:: \implies \sf x = m + 1}$

$\: \: \: \: \: \: \: \: \: \:\:: \implies \sf m = x - 1$

$\: \: \: \: \: \: \: \: \: \:\:: \implies \sf m = 23-1$

$\sf \: \: \: \: \: \: \: \: \: \:\::\implies{\underline{\boxed{\frak{\red{m=22}}}}}\:\bigstar$

$\therefore\:\underline{\textsf{ Value of m is \textbf{22}}}.$