Brijesh Dwevedi and Jitendra Gupta Solutions for Chapter: Linear Equations in Two Variables, Exercise 4: Exam Practice

If $\mathrm{\pi }x+3y=25$, and $y=1$, then find $x$. Use $\mathrm{\pi }=\frac{22}{7}$

If the graph of $2x+ky=10k$ intersects $X$-axis at $\left(2, 0\right)$, find $k$ in the form of decimal

The point $\left(2, 3\right)$ lies on the graph of the linear equation $3x-\left(a-1\right)y=2a-1$. If the same point also lies on the graph of the linear equation $5x+\left(1-2a\right)y=3b$, then find the value of $b$in fractional form.

A student wrote the equations of the lines $a$ and $b$ drawn in the following graph as $y=1$ and $2x+3y=6$. Is he right? If yes, then write the coordinates of point of intersection of lines $a$ and $b$.

Also, find the area enclosed between these Lines and $Y$-axis.

A line $5x-3y=19$ is drawn on a graph as shown below.

Two best Friends Anil and Mukesh are standing on a coordinate axes and they walk along the lines $x=5$ and $y=2$ respectively. After both walking some distance, they meet on a line $5x-3y=19$. Find the area formed by these friends and coordinate axes.

Draw the graph of the following equations on the same graph sheet.

$x=4, x=2, y=1, y-3=0$

Also, find the area enclosed between these fines.

Draw the graph of the following equations on the same graph sheet.

$x-y=0, x+y=0, x=2$

Also, find the area enclosed between these lines.

Write the equation of the lines drawn in following graph. Also, find the area enclosed between them.