R. D. Sharma Solutions for Chapter: Pair of Linear Equations in Two Variables, Exercise 3: EXERCISE 3.3

Solve the following systems of equations:

$\frac{x}{2}+y=0.8$

$\frac{7}{x+\frac{y}{2}}=10$

Solve the following systems of equations:

$\frac{4}{x}+3y=8$

$\frac{6}{x}-4y=-5$

Solve the following systems of equations:

$\frac{15}{u}+\frac{2}{\nu }=17$

$\frac{1}{u}+\frac{1}{\nu }=\frac{36}{5}$

If $\left(x+1\right)$ is a factor of $2x^3+a{x}^2+2bx+1$, then find the values of $a$ and $b$, given that $2a-3b=4$.

Find the solution of the pair of equations $\frac{x}{10}+\frac{y}{5}-1=0$ and $\frac{x}{8}+\frac{y}{6}=15$. Find $\lambda$, if $y=\lambda x+5$.

Find the values of $x$ and $y$ in the following rectangle.
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Write an equation of a line passing through the point representing solution of the pair of linear equations $x+y=2$ and $2x-y=1$. How many such lines can we find?

Write a pair of linear equations which has the unique solution $x=-1, y=3$. How many such pairs can you write?