Question

9x÷7-6x=15
What will be the answer?
​

Answer 1

Answer:

=1

33

2

.

Given equation is \frac{9 x}{7-6 x}=15

7−6x

9x

=15

Let us solve this equation in a stepwise manner

Step1: Shift the denominator of the left hand side to right side

Then the equation becomes

9 x=15(7-6 x)9x=15(7−6x)

Step 2: Multiply 15 into each term inside the bracket

9 x=105-90 x9x=105−90x

Step 3: Separate the like variables in one side.

9 x+90 x=1059x+90x=105

Step 4: Add the like terms

99 x=10599x=105

Step 5: Divide the numbers and simplify then the value of x is obtained

x=\frac{105}{99}=\frac{35}{33}=1 \frac{2}{33}x=

99

105

=

33

35

=1

33

2

.

.

Answer 2

$\bf{\underline{\underline{Answer:}}} \\ \\ \\ \bf{\therefore 1.06}\\ \\\\ \bf{\underline {Given\:Equation:}} \\ \\\\ ⟹ 9x÷7-6x=15 \\ \\\\ \bf{\underline {To\:Find:}} \\ \\\\ ⟹ find\: the\: value \:of, \:x\: =\:? \\ \\\\ \bf{\underline{\underline{Step\: by\: step \:explanation:}}} \\ \\ \\⟹9x÷7-6x=15\\ \\ \\⟹ \dfrac{9x}{7 - 6x} = 15 \\\\ \\⟹ 9x = 15(7 - 6x)\\ \\ \\ ⟹9x = 105 - 90x \\ \\ \\⟹9x + 90x = 105 \\ \\ \\⟹99x = 105 \\ \\ \\⟹x = \dfrac{105}{99} \\ \\ \\⟹x = \dfrac{35}{33} \\ \\ \\⟹ \bf{x = 1.06}\:\:\:\:\:\:\:\:\:\:\:\:\:Answer$