91Ó°ÊÓ

Equation: An equation is a mathematical statement that two expressions are equal. An equation will always contain an equal sign with an expression on each side

Addition Property of Equality

If any two expressions are equal to each other, If we add the same value to both sides of the equation, the equation will remain equal.

For all real numbers a, b, and c: If a = b, then a + c = b + c.

Since subtraction can be written as an addition (adding the opposite), the addition property of equality can be used for subtraction as well.

Multiplication Property of Equality

If two expressions are equal to each other and you multiply both sides by the same number, the resulting expressions will also be equivalent.

For all real numbers a, b, and c: If a = b, then a • c = b • c (or ab = ac).

BODMAS

B – Brackets First

O – Orders (i.e. Powers and Square Roots etc.)

D – Division

M – Multiplication

A – Addition

S – Subtraction

$5+22a=2+10÷2$Original equation

First, we divide 10 by 2 by BODMAS Rule

$⇒5+22a=2+5$

Add the numbers on the right side of the equation.

$⇒5+22a=7$

Subtracting 5 from both sides (addition property of equality)

$⇒22a=2$

Divide both sides by 22 (multiplication property of equality)

$\begin{array}{l}⇒a=\frac{2}{22}\\ ⇒a=\frac{1}{11}\end{array}$

Thus, the value of a is$\frac{1}{11}$