Telangana Board Solutions for Chapter: Pair of Linear Equations, Exercise 5: Exercise

Check whether the following equations are consistent or inconsistent. Solve them graphically:

$5x-3y=11$

$-10x+6y=-22$

Check whether the following equations are consistent or inconsistent. Solve them graphically:

$\frac{4}{3}x+2y=18$

$2x+3y=12$

Check whether the following equations are consistent or inconsistent. Solve them graphically:

$$\begin{gathered} x+y=5 \\ 2x+2y=10 \end{gathered}$$

Check whether the following equations are consistent or inconsistent. Solve them graphically:

$x-y=8$

$3x-3y=16$

Check whether the following equations are consistent or inconsistent. Solve them graphically:

$$\begin{gathered} 2x+y-6=0 \\ 4x-2y-4=0 \end{gathered}$$

Check whether the following equations are consistent or inconsistent. Solve them graphically:

$$\begin{gathered} 2x-2y-2=0 \\ 4x-4y-5=0 \end{gathered}$$

The area of a rectangle gets reduced by $80 \mathrm{sq}$ units if its length is reduced by $5$ units and breadth is increased by $2$ units. If we increase the length by $10$ units and decrease the breadth by $5$ units, the area will increase by $50 \mathrm{sq}$ units. Find the length and breadth of the rectangle.

In a class, if three students sit on each bench, one student will be left. If four students sit on each bench, one bench will be left. Find the number of students and the number of benches in that class.