Topics

General Knowledge
General Science
General English
Aptitude
General Computer Science
General Intellingence and Reasoning
Current Affairs
Exams
Elementary Mathematics
English Literature

In the following questions two equations are given. You have to solve the equations and Give answer

I. 2x + 3y = 4

II. 3x + 2y = 11

A) x < y
B) x \( \Large \leq \) y
C) x = y
D) x > y

Correct Answer:




D) x > y

Description for Correct answer:
I. 2x + 3y = 4

II. 3x + 2y = 11

Multiplying equation I by 3 and equation II by 2 and subtracting equation II from equation I

\( \Large 6x + 9y = 22 \) -- (1)
\( \Large 6x + 4y = 22 \) -- (2)
(1) - (2)
=> 5y = -10

\( \Large \therefore \) y = -2

Putting the value of y = -2 in equation I,

2x + 3 \( \Large \times \) -2 = 4

=> 2x = 6 + 4

=> x = \( \Large \frac{10}{2} \) = 5

Clearly, x > y

Part of solved Linear Equations questions and answers : >> Aptitude >> Linear Equations

Comments

Similar Questions

1). In the following question two equations I and II are given. You have to solve both the equations and Give answer

I. 4x + 2y = 51

II. 15y + 13x =221

A). x > y

B). x \( \Large \leq \) y

C). x < y

D). x \( \Large \geq \) y

2). In the following question two equations I and II are given. You have to solve both the equations and Give answer

I. \( \Large 8x^{2} \) + 3x = 38

II. \( \Large 6y^{2} \) + 34 = 29y

A). x > y

B). x \( \Large \leq \) y

C). x < y

D). x \( \Large \geq \) y

3). In the following questions two equations I and II are given. You have to solve both the equations and Give answer

I. \( \Large x^{2} \) + 91 = 20x

II. \( \Large 10y^{2} \) - 29y + 21 = 0

A). x > y

B). x \( \Large \leq \) y

C). x < y

D). x \( \Large \geq \) y

4). In the following questions two equations I and II are given. You have to solve both the equations and Give answer

I. \( \Large 6x^{2} \) + 13x + 5 = 0

II. \( \Large 9y^{2} \) + 22y + 8 = 0

A). x > y

B). x \( \Large \leq \) y

C). x < y

D). x = y or relationship between x and y cannot be established

5). In the following question two equations I and II are given. You have to solve both the equations and Give answer

I. \( \Large (x+y)^{2} \) = 784

II. 92551 = 92567 - y

A). x > y

B). x \( \Large \leq \) y

C). x < y

D). x \( \Large \geq \) y

6). If 4x + 5y = 83 and \( \Large \frac{3x}{2y} \) = \( \Large \frac{21}{22} \) then what is the value of y - x ?

A). 3

B). 4

C). 7

D). 11

7). In the following question two equations numbered I and II are given. You have to solve both the equations and Give answer

I. \( \Large x^{2} \) - 14x + 48 = 0

II. \( \Large y^{2} \) + 6 = 5y

A). X > Y

B). X \( \Large \geq \) Y

C). X < Y

D). X \( \Large \leq \) Y

8). In the following question two equations numbered I and II are given. You have to solve both the equations and Give answer

I. \( \Large x^{2} \) + 9x +20 = 0

II. \( \Large y^{2} \) + 7y + 12 = 0

A). X > Y

B). X \( \Large \geq \) Y

C). X < Y

D). X \( \Large \leq \) Y

9). In the following question two equations numbered I and II are given. You have to solve both the equations and Give answer

I. \( \Large x^{2} \) = 529

II. y = \( \Large \sqrt{529} \)

A). X > Y

B). X \( \Large \geq \) Y

C). X < Y

D). X = Y or the relationship cannot be established

10). In the following question two equations numbered I and II are given. You have to solve both the equations and Give answer

I. \( \Large x^{2} \) + 13x = - 42

II. \( \Large y^{2} \) + 16y + 63 = 0

A). X > Y

B). X \( \Large \geq \) Y

C). X < Y

D). X \( \Large \leq \) Y