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Amanda [17]
2 years ago
5

Solve this thing pls

ght)=27" alt="3\left(q-7\right)=27" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
xz_007 [3.2K]2 years ago
5 0

Answer:

  • The value of q is 16

\:

Step-by-step explanation:

So here, a equation is given and we are asked to solve the equation.

\\ \dashrightarrow \sf \qquad3(q-7)=27 \\  \\

For this, we have to use the Distributive property, which is :

  • a(b + c) = ab + ac

\\ \dashrightarrow \sf \qquad3q-21=27 \\  \\

Transposing the constant term (-21) to the right side we get :

\\ \dashrightarrow \sf \qquad3q=27 + 21 \\  \\

Adding the like terms :

\\ \dashrightarrow \sf \qquad3q=48 \\  \\

Now, We'll divide both sides by 3 :

\\ \dashrightarrow \sf \qquad \frac{3q}{3} = \frac{48}{3}  \\  \\

\dashrightarrow \bf \qquad \: q=16 \\  \\

evablogger [386]2 years ago
3 0

Answer:

  • Solution of equation ( q ) = <u>1</u><u>6</u>

Step-by-step explanation:

In this question we have given an equation that is <u>3 </u><u>(</u><u> </u><u>q </u><u>-</u><u> </u><u>7</u><u> </u><u>)</u><u> </u><u>=</u><u> </u><u>2</u><u>7</u><u> </u>and we have asked to solve this equation that means to find the value of <u> </u><u>q</u><u> </u><u>.</u>

<u>Solution : -</u>

\quad \: \longmapsto \:  3(q - 7) = 27

<u>Step </u><u>1</u><u> </u><u>:</u> Solving parenthesis :

\quad \: \longmapsto \:3q - 21 = 27

<u>Step </u><u>2</u><u> </u><u>:</u> Adding 21 on both sides :

\quad \: \longmapsto \:3q -  \cancel{ 21} +  \cancel{21} = 27  +  21

On further calculations we get :

\quad \: \longmapsto \:3q = 48

<u>Step </u><u>3 </u><u>:</u> Dividing by 3 from both sides :

\quad \: \longmapsto \: \frac{ \cancel{3}q}{ \cancel{3}}  =  \cancel {\frac{48}{3} }

On further calculations we get :

\quad \: \longmapsto \:   \pink{\boxed{\frak{q = 16}}}

  • <u>Therefore</u><u>,</u><u> </u><u>solution</u><u> </u><u>of </u><u>equation</u><u> </u><u>(</u><u> </u><u>q </u><u>)</u><u> </u><u>is </u><u>1</u><u>6</u><u> </u><u>.</u>

<u>Verifying</u><u> </u><u>:</u><u> </u><u>-</u>

Now we are very our answer by substituting value of q in the given equation . So ,

  • 3 ( q - 7 ) = 27

  • 3 ( 16 - 7 ) = 27

  • 3 ( 9 ) = 27

  • 27 = 27

  • L.H.S = R.H.S

  • Hence, Verified.

<u>Therefore</u><u>,</u><u> </u><u>our </u><u>solution</u><u> </u><u>is </u><u>correct</u><u> </u><u>.</u>

<h2><u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>
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