91Ó°ÊÓ

A symbol we usually pick letters to be symbols, usually represents a number. Any letter you choose can be a variable.

A variable is a symbol that stands in for an unknown value in a mathematical expression. A variable expression is a combination of terms and mathematical operations that contains at least one variable. Example a + 2x + 10

An equation is a mathematical statement that two expressions are equal. The solution of an equation is the value that when substituted for the variable makes the equation a true statement.

Example: 3x + 5 = 14 is an equation, in which 3x+5 and 14 are two expressions separated by an ‘’equal’’ sign.

Converting the phrase into an equation:

In the left side, the phrase is ‘’ the difference of 3 and x. Difference means the Subtraction and x is the variable and the right side is 2.

Now we can write ‘’ the difference of 3 and x’’ is$3−x$

The equation is$3−x=2$

Now solving the equation$3−x=2$ with proper steps

$\begin{array}{l}3−x=2\\ 3−3−x=2−3\text{ â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰[ â¶Ä‰S³Ü²ú³Ù°ù²¹³¦³Ù â¶Ä‰3 â¶Ä‰f°ù´Ç³¾â€‰â¶Ä‰b´Ç³Ù³ó â¶Ä‰s¾±»å±ð²õ â¶ÄÎë}\\ −x=−1\\ \frac{−x}{−1}=\frac{−1}{−1}\text{ â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰}\left[\text{ â¶Ä‰D¾±±¹¾±»å±ð â¶Ä‰b´Ç³Ù³ó â¶Ä‰s¾±»å±ð²õ â¶Ä‰b²â â¶Ä‰t³ó±ð â¶Ä‰c´Ç±ð´Ú´Ú¾±³¦¾±±ð²Ô³Ù â¶Ä‰}\right(\text{ }−\text{ }1)\text{ â¶Ä‰o´Ú â¶Ä‰}x\text{ â¶Ä‰}\\ x=1\end{array}$

Solution of the equation is$x=1$

Solution is not 5, correct solution is x = 1