Question

Solve: 16-x/3=15

Solve: -2x+3=7

Answer 1

$\large\sf\underline{Question\:1\::}$

• $\sf\:16-\frac{x}{3}=15$

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$\large\sf\underline{Solution\::}$

$\sf\:16-\frac{x}{3}=15$

• LCM of 1 and 3

$\sf\implies\:\frac{48-x}{3}=15$

• Transposing 3 to the other side

$\sf\implies\:48-x=15 \times 3$

$\sf\implies\:48-x=45$

$\sf\implies\:-x=45 -48$

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

$\sf\implies\:\cancel{-}x= \cancel{-}3$

$\large{\mathfrak\red{\implies\:x\:=\:3}}$

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$\large\sf\underline{Verifying\:my\:answer\::}$

$\sf\:16-\frac{x}{3}=15$

• Substituting the value of x as 3

$\sf\:16-\frac{3}{3}=15$

$\sf\implies\:48-3=15 \times 3$

$\sf\implies\:45=45$

$\small\fbox\green{[\:Hence\:verified\:]}$

$\dag\:\underline{\sf Value\:of\:x\:=\:3.}$${\sf{{\pink{★}}}}$

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$\large\sf\underline{Question\:2\::}$

• $\sf\:-2x+3=7$

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$\large\sf\underline{Solution\::}$

$\sf\implies\:-2x+3=7$

• Transposing 3 to the other side

$\sf\implies\:-2x=7-3$

$\sf\implies\:-2x=4$

• Transposing -2 to the other side

$\sf\implies\:x=\frac{4}{-2}$

$\sf\implies\:x=\cancel{\frac{4}{-2}}$

$\large{\mathfrak\red{\implies\:x\:=\:-2}}$

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$\large\sf\underline{Verifying\:my\:answer\::}$

$\sf\implies\:-2x+3=7$

• Substituting the value of x as -2

$\sf\implies\:-2 (-2) +3=7$

$\sf\implies\:-2 \times -2 + 3=7$

$\sf\implies\:4 + 3=7$

$\sf\implies\:7=7$

$\small\fbox\green{[\:Hence\:verified\:]}$

$\dag\:\underline{\sf Value\:of\:x\:=\:-2.}$${\sf{{\pink{★}}}}$

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!! Hope it helps !!

Answer 2

ANSWER

${\mathsf{\frac{16-x}{3}=15}}$

${\mathsf{\sf{ 16-x = 15 × 3}}}$

${\sf{\mathsf{ 16-x = 45}}}$

${\sf{\mathsf{ -x = 45-16}}}$

${\sf{\mathsf{ -x = 29}}}$

${\sf{\mathsf{ -x × (-1) = 29 × -(1)}}}$

$\bold{\sf{\underline{\mathsf{ x = -29}}}}$

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${\mathsf{ -2x + 3 = 15}}$

${\mathsf{ -2x = 15 - 3}}$

${\mathsf{ -2x = 12}}$

${\mathsf{ x ={\frac{12}{-2}}}}$

$\bold{\underline{\mathsf{ x = -6}}}$

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Hope this helps ya! ♡

~Jahnavi♪♫