Solve: 1 x - 3 + 1 x - 7 = 1 x - 1 + 1 x - 9

Sum of the denominators in LHS = x - 3 + x - 7 = 2 x - 10 Sum of the denominators in RHS = x - 1 - x - 9 = 2 x - 10 So, 2 x - 10 = 0 ⇒ 2 x = 10 ⇒ x = 10 2 = 5

Solve the following equation and check your answer: 4 5 - x = 3 5

Given : 4 5 – x = 3 5 Subtracting 4 5 from both sides, we get 4 5 - x - 4 5 = 3 5 - 4 5 – x = 3 5 - 4 5 – x = – 1 5 Multiplying both sides by - 1 , we get - x × - 1 = – 1 5 × - 1 x = 1 5 Verification: Substituting x = 1 5 in LHS , we get LHS = 4 5 – 1 5 = 4 - 1 5 = 3 5 , and RHS = 3 5 LHS = RHS Hence, verified.

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Which of the following equations is the balanced form of the equation, 4x + 5 = 65?

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Important Questions on Simple Equations

EASY

Mathematics>Algebra>Simple Equations>Solution of an Equation

Solve:

\frac{1}{x - 3} + \frac{1}{x - 7} = \frac{1}{x - 1} + \frac{1}{x - 9}

MEDIUM

Mathematics>Algebra>Simple Equations>Solution of an Equation

Solve the following equation and check your answer:

x - 3 = 5

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Mathematics>Algebra>Simple Equations>Solution of an Equation

The sum of three consecutive odd numbers is

33

. What are the numbers?

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Mathematics>Algebra>Simple Equations>Solution of an Equation

Solve the following equation and check your answer:

\frac{1}{3} - 2 x = 0

EASY

Mathematics>Algebra>Simple Equations>Solution of an Equation

The sum of three consecutive natural numbers is

36

. What are the numbers?

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Mathematics>Algebra>Simple Equations>Solution of an Equation

Solve the following equation and check your answer:

7 + 4 y = - 5

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Mathematics>Algebra>Simple Equations>Solution of an Equation

The sum of three consecutive odd numbers is

81

. The middle number is

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Mathematics>Algebra>Simple Equations>Solution of an Equation

Solve the following equation and check your answer:

\frac{x}{2} = 0

MEDIUM

Mathematics>Algebra>Simple Equations>Solution of an Equation

Solve the following equation and check your answer:

3 x = 0

EASY

Mathematics>Algebra>Simple Equations>Solution of an Equation

Solve the following equation and check your answer:

\frac{x}{4} = \frac{7}{8}

EASY

Mathematics>Algebra>Simple Equations>Solution of an Equation

In a $3$ -digit number, the tens digit is thrice the units digit and the hundreds digit is four times the units digit. Also, the sum of its digits is $16$ . Find the number.

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Mathematics>Algebra>Simple Equations>Solution of an Equation

Can the sum of three consecutive odd numbers be

36

? Why?

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Mathematics>Algebra>Simple Equations>Solution of an Equation

Solve the following equation and check your answer:

\frac{4}{5} - x = \frac{3}{5}

EASY

Mathematics>Algebra>Simple Equations>Solution of an Equation

The perimeter of a rectangle is

80

metres and its length is one metre more than twice the breadth. What are its length and breadth?

MEDIUM

Mathematics>Algebra>Simple Equations>Solution of an Equation

Solve the following equation and check your answer:

x - \frac{3}{5} = \frac{7}{5}

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Mathematics>Algebra>Simple Equations>Solution of an Equation

The price of a book is $4$ rupees more than the price of a pen. The price of a pencil is $2$ rupees less than the price of the pen. The total price of $5$ books, $2$ pens and $3$ pencils is $₹ 74$ . What is the price of each?