Chapter 2: Q.43. (page 112)

Solve the below equation with fraction coefficients.
$\frac{1}{4} x - \frac{1}{2} = - \frac{3}{4}$

Short Answer

Expert verified

The solution is $x = - 1$ .

Step by step solution

Step 1. Given information.

The given equation is $\frac{1}{4} x - \frac{1}{2} = - \frac{3}{4}$ .

Step 2. Find the least common denominator of all fractions in the given equation.

We know that the LCM of denominators $4, 2, 4$ is $4$ .

So, the LCD of all fractions given in the equation $\frac{1}{4}, \frac{1}{2}, \frac{3}{4}$ is $4$ .

Step 3. Multiply both sides of the equation with LCD.

Multiply both the sides by $4$ .

$4 (\frac{1}{4} x - \frac{1}{2}) = 4 (- \frac{3}{4}) 4 \times \frac{1}{4} x - 4 \times \frac{1}{2} = - 4 \times \frac{3}{4} x - 2 = - 3$

Step 4. Solve the above equation by adding 2 on both sides.

$x - 2 + 2 = - 3 + 2 x = - 1$

Hence, the solution of the given equation is $x = - 1$ .

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Solve the below equation with fraction coefficients.
$\frac{1}{4} x - \frac{1}{2} = - \frac{3}{4}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find the least common denominator of all fractions in the given equation.

Step 3. Multiply both sides of the equation with LCD.

Step 4. Solve the above equation by adding 2 on both sides.

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Solve the below equation with fraction coefficients.14x-12=-34

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find the least common denominator of all fractions in the given equation.

Step 3. Multiply both sides of the equation with LCD.

Step 4. Solve the above equation by adding 2 on both sides.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Discrete Mathematics

Probability and Statistics

Calculus

Decision Maths

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Solve the below equation with fraction coefficients.
$\frac{1}{4} x - \frac{1}{2} = - \frac{3}{4}$