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hammer [34]
1 year ago
15

What is d if

itle="\frac{3d-2}{8} = -d+16\frac{1}{4}" alt="\frac{3d-2}{8} = -d+16\frac{1}{4}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Harlamova29_29 [7]1 year ago
8 0

Answer: d=12

Step-by-step explanation:

\displaystyle\\\frac{3d-2}{8} =-d+16\frac{1}{4} \\\\\frac{3d-2}{8} =-d+\frac{16*4+1}{4} \\\\\frac{3d-2}{8} =-d+\frac{64+1}{4} \\\\\frac{3d-2}{8} =-d+\frac{65}{4}

Multiply both parts of the equation by 8:

\displaystyle\\3d-2=(-d+\frac{65}{4} )(8)\\\\3d-2=-8d+65*2\\\\3d-2=-8d+130\\\\3d-2+2=-8d+130+2\\\\3d=-8d+132\\\\3d+8d=-8d+132+8d\\\\11d=132\\

Divide both parts of the equation by 11:

d=12

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\sf \bf {\boxed {\mathbb {Given:}}}

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\sf \bf {\boxed {\mathbb {To\:find:}}}

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\sf \bf {\boxed {\mathbb {Solution:}}}

\implies {\blue {\boxed {\boxed {\purple {\sf { \frac{1}{5} }}}}}}

\sf \bf {\boxed {\mathbb {Step-by-step\:explanation :}}}

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➺\:  \frac{1}{5}

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\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}

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