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Chapter 2: Q13. (page 86)

Evaluate the following equation and check the solution is correct or not:

89=45k

Short Answer

Expert verified

The solution of the equation 89=45kis k=109.

Step by step solution

01

Step 1. Given information.

The given equation is 89=45k.

02

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.

03

Step 3. Solve the equation.

The equation 89=45kcan be solved below:

89=45k

Multiply both sides by 5,

89脳5=45k脳5409=4k409脳4=k

So,

k=109

04

Step 4. Check the solution.

Take the equation 89=45k.

Substitute k=109on the right-hand side of the equation.

role="math" localid="1642414133656" 89=45k89=45脳10989=89

This shows that, k=109is the solution of the given equation.

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