Chapter 2: Q23. (page 66)

Which of the equations $x + 9 y = 7, x^{2} + 5 y = 0,$ and $y = 3 x - 1$ is not linear?

Short Answer

Expert verified

The equation $x^{2} + 5 y = 0$ is not a linear equation.

Step by step solution

– Definition of a linear equation.

In a linear equation the exponent of each variable is 1 and the variables may not be multiplied together. The graph of a linear equation is always a line.

– Given information.

The given equations are:

$\begin{matrix} x + 9 y = 7 \\ x^{2} + 5 y = 0 \\ y = 3 x - 1 \end{matrix}$

– Check whether the equations are linear or not.

In the equation $x + 9 y = 7$ the exponent of x is 1 and the exponent of y is 1. So, this equation is linear equation.

In the equation $x^{2} + 5 y = 0$ the exponent of x is 2 and the exponent of y is 1. So, this equation is not a linear equation because x has an exponent other than 1.

In the equation $y = 3 x - 1$ the exponent of x is 1 and the exponent of y is 1. So, this equation is linear equation.

Thus, the equation $x^{2} + 5 y = 0$ is not a linear equation.

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Column A	Column B
the average (arithmetic mean) of three integers x, y, z and 29	30

Which of the equations $x + 9 y = 7, x^{2} + 5 y = 0,$ and $y = 3 x - 1$ is not linear?

Short Answer

Step by step solution

– Definition of a linear equation.

– Given information.

– Check whether the equations are linear or not.

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Which of the equations x+9y=7, x2+5y=0, and y=3x-1 is not linear?

Short Answer

Step by step solution

– Definition of a linear equation.

– Given information.

– Check whether the equations are linear or not.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Pure Maths

Geometry

Mechanics Maths

Decision Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Which of the equations $x + 9 y = 7, x^{2} + 5 y = 0,$ and $y = 3 x - 1$ is not linear?