Assam Board Solutions for Chapter: Pair of Linear Equations in Two Variables, Exercise 3: Exercise 3.3

Solve the following pair of linear equations by the substitution method.

$0.2x+0.3y=1.3$

$0.4x+0.5y=2.3$

Solve the following pair of linear equations by the substitution method.

$\sqrt{2}x+\sqrt{3}y=0$ , $\sqrt{3}x-\sqrt{8}y=0$

Solve the following pair of linear equations by the substitution method.

$$\begin{gathered} \frac{3x}{2}-\frac{5y}{3}=-2 \\ \frac{x}{3}+\frac{y}{2}=\frac{13}{6} \end{gathered}$$

Form a pair of linear equation for the following problem and find their solution by substitution method.

The larger of two supplementary angles exceeds the smaller by $18$ degrees. Find them.

Form the pair of linear equation for the following problem and find their solution by substitution method.

The coach of a cricket team buys $7$ bats and $6$ balls for $\mathrm{₹}3800$. Later, she buys $3$ bats and $5$ balls for $\mathrm{₹}1750$. Find the cost of each bat and each ball.

Form the pair of linear equations for the following problem and find their solution by substitution method.

The taxi charges in a city consist of a fixed charge together with the charge for the distance covered. For a distance of $10 \mathrm{k}\mathrm{m}$, the charge paid is $\mathrm{₹}105$ and for a journey of $15 \mathrm{k}\mathrm{m}$, the charge paid is $\mathrm{₹}155$. What are the fixed charges and the charge per km? How much does a person have to pay for travelling a distance of $25 \mathrm{k}\mathrm{m}$ ?

Form the pair of linear equations for the following problem and find the solution by substitution method.
A fraction becomes $\frac{9}{11}$ if $2$ is added to both the numerator and the denominator. If $3$ is added to both the numerator and the denominator, it becomes $\frac{5}{6}$. Find the fraction.
 

Form a pair of linear equation for the following problem and find their solution by substitution method.

Five years hence, the age of Jacob will be three times that of his son. Five years ago, Jacob’s age was seven times that of his son. What are their present ages?