The system of linear equations x + y + 1 = 0 and 2x + 2y + 7 = 0 has: Option 1: Quadratic Solution Option 2: Unique Solution Option 3: Infinte Solution Option 4: No Solution

Answer: No Solution. Solution: Compare ratios: a_1/a_2 = 1/2, b_1/b_2 = 1/2, c_1/c_2 = 1/7. Since a_1/a_2 = b_1/b_2 ≠ c_1/c_2, the lines are parallel and distinct, so the system is inconsistent and has no solution.

Quantitative Reasoning

Linear Equation

Easy

The system of linear equations x + y + 1 = 0 and 2x + 2y + 7 = 0 has:

Quadratic Solution

Unique Solution

Infinte Solution

No Solution

✅ Correct Option: 4

Compare ratios: $\dfrac{a_1}{a_2} = \dfrac{1}{2}$ , $\dfrac{b_1}{b_2} = \dfrac{1}{2}$ , $\dfrac{c_1}{c_2} = \dfrac{1}{7}$ . Since $\dfrac{a_1}{a_2} = \dfrac{b_1}{b_2} \neq \dfrac{c_1}{c_2}$ , the lines are parallel and distinct, so the system is inconsistent and has no solution.

2023: 15 June Shift 2

The difference between two numbers is 24. If one number is 2 times the second. Then the two numbers will be:

2025: 3 June Shift 1

Which one of the following pairs of linear equations has/ have infinite many solutions?

(A) $9x + 3y + 12 = 0$ , and $18x + 6y + 24 = 0$

(B) $2x - 3y = 13$ , and $7x - 2y = 20$

(D) $3x + y - 3 = 0$ and $2x + \frac{2}{3}y = 2$

Choose the correct answer from the options given below:

2022: 8 Aug Shift 1

The value of 'y' in the question $2x + 3y - 7 = 0$ if $x = -3/2$

2025: 14 May Shift 1

Two water pipelines are represented by the equations $kx + 3y +1 = 0$ and $2x + y + 3 = 0$ . For what value of k, the pipelines cross each other?

2025: 13 May Shift 1

The present age of a father is 4 years more than double the age of his son. After 10 years, the father's age is 30 years more than his son. Then the present age of father is:

2025: 24 May Shift 2

The equations: x + 4y - 3 = 0 and 2x + 8y - 6 = 0 have

The system of linear equations x + y + 1 = 0 and 2x + 2y + 7 = 0 has:

Solution

Related questions:

Keyboard Shortcuts

CUET General Test Past Year Questions (Topic-Wise)