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Reducing Equations to Simpler Form

Question

Solve for $x$ :
$\frac{9 x}{7 - 6 x} = 15$

$\frac{99}{105}$
$- \frac{105}{99}$
$\frac{105}{99}$
$- \frac{99}{105}$

A

\frac{99}{105}

B

- \frac{105}{99}

C

\frac{105}{99}

D

- \frac{99}{105}

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Solution

Verified by Toppr

$\frac{9 x}{7 - 6 x} = 15$

$9 x = 15 (7 - 6 x) = 105 - 90 x$

$9 x + 90 x = 105$

$99 x = 105$

$x = \frac{105}{99}$

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Similar Questions

Q1

Evaluate the following using the suitable identity.
(i)

99^{3}

(ii)

1001^{2}

(iii)

105^{3}

(iv)

105 \times 108

(v)

91 \times 106

(vi)

107^{3}

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Q2

Given data set: 100, 103, 98, 34, 99, 101, 103, 97, 105

Which of the following statements is true regarding this data?

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Q3

Solve for

x

in

(x + 2) (x + 4) (x + 6) (x + 8) = 105

.

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Q4

Solve the following equation:
9x + 99 = 999

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Q5

What is the remainder when p - q is divided by 100, if

p = 2^{99} + 4^{99} + 6^{99} + 8^{99} + . . . . . . . . . + 100^{99}

and

q = 1^{99} + 3^{99} + 5^{99} + 7^{99} + . . . . . . . . . . + 99^{99} ?

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