Chapter 2: Q9. (page 86)

Evaluate the following equation and check the solution is correct or not:
$x + 4 = \frac{3}{4}$

Short Answer

Expert verified

The solution of the equation $x + 4 = \frac{3}{4}$ is $x = - \frac{13}{4}$ .

Step by step solution

Step 1. Given information.

The given equation is $x + 4 = \frac{3}{4}$ .

Step 2. Write the concept.

In an equation, the variable represents the number that satisfies the equation.

To solve an equation means to find the value of the variable that makes the equation true.

If an equation is true and the same number is added to each side of the equation, then the resulting equivalent equation is also true.

Step 3. Solve the equation.

The equation $x + 4 = \frac{3}{4}$ can be solved below:

$x + 4 = \frac{3}{4}$

Subtract 4 from both sides of the equation.

$x + 4 - 4 = \frac{3}{4} - 4 x = \frac{3}{4} - 4 x = \frac{3 - 4 \times 4}{4}$

So,

$x = \frac{3 - 16}{4} = - \frac{13}{4}$

Step 4. Check the solution.

Take the equation $x + 4 = \frac{3}{4}$ .

Substitute $x = - \frac{13}{4}$ on right-hand side of the equation.

role="math" localid="1642410272518" $x + 4 = \frac{3}{4} - \frac{13}{4} + 4 = \frac{3}{4} \frac{- 13 + 4 \times 4}{4} = \frac{3}{4} \frac{- 13 + 16}{4} = \frac{3}{4} \frac{3}{4} = \frac{3}{4}$

This shows that, $x = - \frac{13}{4}$ is the solution of the given equation.

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Evaluate the following equation and check the solution is correct or not:
$x + 4 = \frac{3}{4}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Write the concept.

Step 3. Solve the equation.

Step 4. Check the solution.

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Short Answer

Step by step solution

Step 1. Given information.

Step 2. Write the concept.

Step 3. Solve the equation.

Step 4. Check the solution.

One App. One Place for Learning.

Most popular questions from this chapter

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Evaluate the following equation and check the solution is correct or not:
$x + 4 = \frac{3}{4}$