Question

Need help with this math question

Answer 1

Hey there!

• Answer :

$\displaystyle{\orange{\boxed{\bold{\green{d = -5}}}}}$

• Explanation:

$\displaystyle{ \frac{4}{5}d + 3 = -2 - \frac{1}{5}d}$

$\hookrightarrow$ Subtract 3 from both sides :

$\\ \displaystyle{ \frac{4}{5}d + 3 \bold{ \red{ - 3} }} = \displaystyle{ - 2 - \frac{1}{5}d \bold{ \red{ - 3}} } \\ \\ \implies \displaystyle{\frac{4}{5}d = - \frac{1}{5}d - 5 } \: \: \: \:$

$\\ \hookrightarrow$ Add $\frac{1}{5}d$ to both sides :

$\\ \displaystyle{\frac{4}{5}d \: \bold{ \blue{ + \frac{1}{5}d }} = \displaystyle{ - \frac{1}{5}d - 5 \: \bold{ \blue{ + \ \frac{1}{5}d }}}} \\ \\ \implies \displaystyle{\frac{5}{5}d = - 5} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \displaystyle{\green{ \boxed{ \orange{{d = - 5}}}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Therefore, our answer is d = -5

▪️ Learn more about equations :

↣brainly.com/question/27771769

↣brainly.com/question/21055719

Answer 2

add $\bf{\frac{1}{5}d }$ on both sides.

$\boldsymbol{\dfrac{4}{5}d+3+\dfrac{1}{5}d=-2 }$

combine $\bf{\frac{4}{5}d }$ and $\bf{\frac{1}{5}d }$ to get d.

$\boldsymbol{d+3=-2}$

Subtract 3 from both sides.

$\boldsymbol{d=-2-3}$

Subtract 3 from −2 to get −5.

$\boxed{\boldsymbol{d=-5}} \ \ \to \ \ \bf{Answer}$

Verification

Let d=-5.

$\sf{\dfrac{4}{5}\times-5+3=-2-\dfrac{1}{5}\times-5 }$

$\rm{Apply \ this \ rule:\dfrac{a}{b}\times c=\dfrac{ac}{b} }$

$\sf{\dfrac{4\times-5}{5}+3=-2-\dfrac{1}{5}\times-5 \ \ \to \ \ Multiply \ 4 \ by \ -5 }$

$\sf{\dfrac{-20}{5}+3=-2-\dfrac{1}{5}\times-5 }$

$\rm{Move \ the \ negative \ symbol \ to \ the \ left. }$

$\sf{-\dfrac{20}{5}+3=-2-\dfrac{1}{5}\times-5 \ \ \to \ \ Simplify \ \frac{20}{5} \ to \ 4. }$

$\sf{-4+3=-2- \dfrac{1}{5}\times-1 }$

$\rm{Move \ the \ negative \ symbol \ to \ the \ left.}$

$\sf{-4+3=-2-(-1) \ \ \to \ \ Simplify \ -4+3 \ to \ -1. }$

$\sf{-1=-2-(-1) \ \ \to \ \ \to \ \ Remove \ parentheses. }$

$\sf{-1=-2+1 \ \ \to \ \ Simplify \ -2+1 \ to \ -1.}$

$\sf{-1=-1 \ \to \ Equality \ is \ met.}$

Checked ✅

$\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}$