Question

9x + 100=65 is equation is true or false
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Answer 1

Answer:

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Answer 2

Question:-

• Solve :- 9x + 100 = 65

To Find :-

• The value of x

Solution:-

• Just simply transfer the number to another side

Let's do it :-

$\begin{gathered}\begin{gathered}: \implies</strong><strong> \underline{ \boxed{\displaystyle \sf \bold{\:</strong><strong> </strong><strong>9</strong><strong>x</strong><strong>\</strong><strong>:</strong><strong> </strong><strong>+</strong><strong> </strong><strong>\</strong><strong>:</strong><strong> </strong><strong>100 </strong><strong>\</strong><strong>:</strong><strong> </strong><strong>=</strong><strong> </strong><strong>\</strong><strong>:</strong><strong> </strong><strong>6</strong><strong>5</strong><strong> }} }\\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \displaystyle \sf \:</strong><strong> </strong><strong>9x\: + \: 100 \: = \: 65</strong><strong> \\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \displaystyle \sf \: 9x\: = \: 65</strong><strong> </strong><strong>\</strong><strong>:</strong><strong> </strong><strong>-</strong><strong> </strong><strong>\</strong><strong>:</strong><strong> </strong><strong>1</strong><strong>0</strong><strong>0</strong><strong> \\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \displaystyle \sf \: 9x\: = \: </strong><strong>-</strong><strong>3</strong><strong>5</strong><strong> \\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \displaystyle \sf \: x\: = \:</strong><strong> \frac{ - 35}{9} </strong><strong> \\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \underline{ \boxed{\displaystyle \sf \bold{\</strong><strong>:</strong><strong> </strong><strong>x\</strong><strong>:</strong><strong> </strong><strong> </strong><strong>=</strong><strong>\</strong><strong>:</strong><strong> </strong><strong>-</strong><strong>3</strong><strong>.</strong><strong>8</strong><strong>9</strong><strong> </strong><strong>}} }\\ \\\end{gathered}\end{gathered}$

Verification:-

• Fill the value of x in the equation
• LHS = RHS

$\begin{gathered}\begin{gathered}: \implies \underline{ \boxed{\displaystyle \sf \bold{\: 9x\: + \: 100 \: = \: 65 }} }\\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \displaystyle \sf \: 9\: × \: -3.89\: + \: 100 \: = \: 65 \\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \underline{ \boxed{\displaystyle \sf \bold{\: 65\: = \: 65 }} }\\ \\\end{gathered}\end{gathered}$

Hence, proved

Therefore:-

• The Value of x = 3.89