Q. 74.1( 8 Votes )

# Solve the equation

2x + 1 = x – 3, and represent the solution(s) on

(i) the number line,

(ii) the Cartesian plane.

Answer :

Solving the given equation 2x + 1 = x – 3,

We have 2x – x = – 3 – 1

Or, x = – 4

(i) The representation of the solution on the number line is as shown:

x = – 4 is treated as an equation in one variable.

(ii) Equation x = – 4 is same as

x + 0.y = – 4

which is a linear equation in the variables x and y.

This is represented by a line. Now all the values of y are

permissible because 0.y is always 0. However, x must satisfy the

equation x = – 4.

The permissible values of x and y can be tabulated as:

Plotting the above values:

Rate this question :

Draw the graph of the equation 2x + y = 6. Find the coordinates of the point, where the graph cuts the x-axis.

RS Aggarwal & V Aggarwal - MathematicsDraw the graph of the equation 3x + 2y = 6. Find the coordinates of the point, where the graph cuts the y-axis.

RS Aggarwal & V Aggarwal - MathematicsThe area of the triangle formed by the line x + 3y = 12 and the coordinate axes is

RS Aggarwal & V Aggarwal - MathematicsWrite the equation representing *x*-axis.

The distance between the graph of the equations *x* = -3 and *x*=2 is

Draw the graph of the equation 3x + 2y = 12. At what points does the graph cut the x-axis and the y-axis?

RS Aggarwal & V Aggarwal - Mathematics