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elixir [45]
2 years ago
5

X-3 / 4 = r/4 pls show the steps and the answer for this problem

Mathematics
2 answers:
Dima020 [189]2 years ago
8 0

\\ \rm\longmapsto \dfrac{x-3}{4}=\dfrac{x}{2}

\\ \rm\longmapsto 2(x-3)=4x

\\ \rm\longmapsto x-3=\dfrac{4x}{2}

\\ \rm\longmapsto x-3=2x

\\ \rm\longmapsto x-2x=3

\\ \rm\longmapsto -x=3

\\ \sf\longmapsto x=-3

kvasek [131]2 years ago
6 0

\huge \boxed{\mathbb{QUESTION} \downarrow}

  • \tt \: \frac { x - 3 } { 4 } = \frac { r } { 4 } \\

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

  • We'll have 2 solutions because this question is in 2 variables (x & r) & we need to solve for both of them.

<h3><u>First, let's solve for 'r'.</u></h3>

\tt\frac { x - 3 } { 4 } = \frac { r } { 4 } \\

Multiply both sides of the equation by 4.

\tt \: x-3=r

Swap sides so that all variable terms are on the left-hand side.

\boxed{\boxed{ \bf \: r=x-3 }}

_________________

<h3><u>Now, let's solve for 'x'.</u></h3>

\tt \: \frac { x - 3 } { 4 } = \frac { r } { 4 } \\

Multiply both sides of the equation by 4.

\tt \: x-3=r

Add 3 to both sides.

\boxed{ \boxed{ \bf \: x=r+3 }}

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