SaiBook.us Algebra

Example

Title: Solve the equation

Grade: 9-a Lesson: S1-L3

Explanation: The best way to understand algebra is by looking at some examples. Take turns and read each example for easy understanding.

Examples:

1. Solve \$(b + 3)/3 = 6 \$.

Step 1a

Given linear equation is that, \$(b + 3)/3 = 6 \$

Rewrite the equation.

$1a$

Explanation:

Given linear equation is that, \$(b + 3)/3 = 6 \$

Now, rewrite the equation as \$(b + 3)/3 = 6/1 \$.

Step 1b

Cross multiply in the equation.

$1b$

Explanation: Perform cross multiplication in the equation, to make it easier to solve.

⇒ \$(b + 3)/3 = 6/1\$
⇒ \$(b + 3) times 1 = 6 times 3\$
⇒ \$b + 3 = 18\$.

Step 1c

Now solve for 'b'.

$1c$

Explanation: Now solve for 'b'.

i.e, move constant terms to one side of the equations and perform operations among the terms in the equation to get the final answer.

⇒ \$b + 3 = 18\$
⇒ \$b = 18 - 3\$
⇒ \$b = 15\$