The equation x = 7, in two variables, can be written as
a. 1 . x + 1 . y = 7
b. 1. x + 0. y = 7
c. 0 . x + 1 . y = 7
d. 0 . x + 0 . y = 7

Solution:

Let us simplify the options

a. 1 . x + 1 . y = 7

It can be written as

x + y = 7

b. 1. x + 0. y = 7

It can be written as

x = 7

c. 0 . x + 1 . y = 7

It can be written as

y = 7

d. 0 . x + 0 . y = 7

0 = 7

Therefore, the equation in two variables can be written as 1. x + 0. y = 7.

✦ Try This: The graph of the linear equation 3x + 4y = 12 cuts the y-axis at the point a. (3, 0), b. (0, 4), c. (4, 0), d. (0, 3)

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 4

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NCERT Exemplar Class 9 Maths Exercise 4.1 Problem 6

The equation x = 7, in two variables, can be written as a. 1 . x + 1 . y = 7, b. 1. x + 0. y = 7, c. 0 . x + 1 . y = 7, d. 0 . x + 0 . y = 7

Summary:

The linear equations in two variables are of the highest exponent order of 1 and have one, none, or infinitely many solutions. The equation x = 7, in two variables, can be written as 1. x + 0. y = 7

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☛ Related Questions:

• Any point on the x-axis is of the form a. (x, y), b. (0, y), c. (x, 0), d. (x, x)
• Any point on the line y = x is of the form a. (a, a), b. (0, a), c. (a, 0), d. (a, -a)
• The equation of x-axis is of the form a. x = 0, b. y = 0, c. x + y = 0, d. x = y