Linear Equations In Two Variables Maths - Linear Equations In Two Variables

Write the equation of the line that is parallel to y-axis and passing through the point:
(3, 5)

Write the equation of the line that is parallel to x-axis and passing through the point:
(0, 3)

Write the equation of the line that is parallel to x-axis and passing through the point:
(2, -5)

Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in case:
3x = -7y

Solve the equation 3x + 2 = x - 8, and represent the solution on:
The Cartesian plane.

The sum of a two digit number and the number obtained by reversing the order of its digits is 121. lf units and ten's digit of the number are x ard y respectively, then write the linear equation representing the above statement.

A number is 27 more than the number obtained by reversing its digits. If its unit's and ten's digit are x and y respectively, write the linear equation representing the above statement.

Check the following are solutions of the equation 2x - y = 6 and which are not:
(2, -2)

Solve the equation 2y - 1 = y + 1 and represent it graphically on the coordinate plane.

Write two solutions of the form x = 0, y = a and x = b, y = 0 for the following equations:
5x - 2y = 10

Give the geometric representations of the following equations:

1. On the number line.
2. On the Cartesain plane.

2x + 9 = 0

Give the geometrical representation of 2x + 13 = 0 as an equation in:
One variable.

Write two solutions of the form x = 0, y = a and x = b, y = 0 for the following equations:
-4x + 3y = 12

Draw the graph of y = |x|.

Draw the graph of the following linear equations in two variables:
x + y = 4

Draw the graph of the following linear equations in two variables:
y = 2x

Draw the graph of the equations given below. Also, find the coordinates of the points where the graph cuts the coordinate axes:
3x + 2y + 6 = 0

Draw the graph of the equations given below. Also, find the coordinates of the points where the graph cuts the coordinate axes:
6x - 3y = 12

Draw the graph of the equation 2x + y = 6. Shade the region bounded by the graph and the coordinate axes. Also, find the area of the shaded region.

Draw the graph of the equation 2x + 3y = 12. From the graph, find the coordinates of the point:

1. Whose y-coordinates is 3.
2. whose x-coordinates is -3.

Draw the graphs of the linear equations 4x - 3y + 4 = 0 and 4x + 3y - 20 = 0. Find the area bounded by these lines and x-axis.