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Standard VI

Mathematics

Solving Equations with Linear Expressions on One Side and Numbers on the Other Side

Find the solu...

Question

Find the solution of equation by inspection method
$\frac{x}{3} + 4 = 6$

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Solution

By inspection method
What value should be given to variable t so that left hand side should be equal to right hand side
Therefore $\frac{6}{3} + 4 = 6$
OR $2 + 4 = 6$
Solution Of Equation :
$\frac{x}{3} + 4 = 6$
Subtracting both sides by $4$
$\frac{x}{3} + 4 - 4 = 6 - 4$
$\Rightarrow \frac{x}{3} = 2$
Multiplying both sides by $3$ we get
$x = 2 \times 3 x = 6$
Hence x=6 is the solution of the given simple equation

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Question 4(c)

Complete the table and by inspection of the table find the solution to the equation $\frac{z}{3} = 4.$

$\begin{matrix} z & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16 & \dots & \dots & \dots & \dots \frac{z}{3} & 2 \frac{2}{3} & 3 & 3 \frac{1}{3} & \dots & \dots & \dots & \dots & \dots & \dots & \dots & \dots & \dots & \dots \end{matrix}$

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Find the solution of equation by inspection method x3+4=6

Find the solution of equation by inspection method
$\frac{x}{3} + 4 = 6$