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The pair of equations y = 0 and y = -7 has
a. one solution
b. two solutions
c. infinitely many solutions
d. no solution

Solution:

Given, the pair of equations are

y = 0

y = -7

We have to find the solution.

Here, b₁ = 1, c₁ = 0

b₂ = 1, c₂ = -7

So, b₁/b₂ = 1/1 = 1

c₁/c₂ = 0/-7 = 0

So, \(\frac{b_{1}}{b_{2}}\neq \frac{c_{1}}{c_{2}}\)

We know that,

For a pair of linear equations in two variables be a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0,

If \(\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}\neq \frac{c_{1}}{c_{2}}\), then

i) the pair of linear equations is inconsistent

ii) the graph will be a pair of parallel lines and so the pair of equations will have no solution.

The pair of equations y = 0 and y = -7 has

Therefore, the pair of equations has no solution.

✦ Try This: The pair of equations y = -1 and y = 0 has

Given, the pair of equations are

y = -1

y = 0

We have to find the solution.

Here, b₁ = 1, c₁ = -1

b₂ = 1, c₂ = 0

So, b₁/b₂ = 1/1 = 1

c₁/c₂ = -1/0

So, \(\frac{b_{1}}{b_{2}}\neq \frac{c_{1}}{c_{2}}\)

Therefore, the pair of equations has no solution

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 3

NCERT Exemplar Class 10 Maths Exercise 3.1 Problem 4

The pair of equations y = 0 and y = -7 has, a. one solution, b. two solutions, c. infinitely many solutions, d.no solution

Summary:

The pair of equations y = 0 and y = -7 has no solution

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