If 6x - 10y = 10 and x/(x+y) = 5/7, then (x-y) is equal to: Option 1: 12 Option 2: 8 Option 3: 6 Option 4: 3

Answer: 3. Solution: Given 6x - 10y = 10 and x/(x+y) = 5/7, we need to find (x-y). Starting with the second equation: x/(x+y) = 5/7 7x = 5(x+y) 7x = 5x + 5y 2x = 5y x = 5y/2 Substituting x = 5y/2 into the first equation: 6(5y/2) - 10y = 10 30y/2 - 10y = 10 15y - 10y = 10 5y = 10 y = 2 Finding the value of x: x = 5y/2 x = (5(2))/2 x = 5 Therefore: x - y = 5 - 2 = 3 The answer is 3.

Quantitative Reasoning

Linear Equation

Medium

If $6x - 10y = 10$ and $\frac{x}{x+y} = \frac{5}{7}$ , then (x-y) is equal to:

✅ Correct Option: 4

Given $6x - 10y = 10$ and $\frac{x}{x+y} = \frac{5}{7}$ , we need to find $(x-y)$ .

Starting with the second equation:

$\frac{x}{x+y} = \frac{5}{7}$

$7x = 5(x+y)$

$7x = 5x + 5y$

$2x = 5y$

$x = \frac{5y}{2}$

Substituting $x = \frac{5y}{2}$ into the first equation:

$6\left(\frac{5y}{2}\right) - 10y = 10$

$\frac{30y}{2} - 10y = 10$

$15y - 10y = 10$

$5y = 10$

$y = 2$

Finding the value of $x$ :

$x = \frac{5y}{2}$

$x = \frac{5(2)}{2}$

$x = 5$

Therefore:

$x - y = 5 - 2 = 3$

The answer is $3$ .

2026: 21 May Shift 1

Which one of the following pairs of linear equations is/are inconsistent?

(A) 7 x + 2 y = 3, 14 x + 4 y = 5

(B) 2 x - 3 y = 7, 4 x - 6 y = 12

(D) 2 x - 2 y = 2, 4 x - 4 y = 5

Choose the correct answer from the options given below:

2026: 12 May Shift 1

The system of linear equations 3x + y + 4 = 0 and 2x + y + 9 = 0 has:

2022: 6 Oct Shift 1

Match List I with List II

	LIST I (Equations)		LIST II (Solutions)
A.	$2x - 4 = 2 - x$	I.	$x = 3$
B.	$7 - 4x = 0$	II.	$x = 2$
C.	$\frac{x}{2} - 3 = 0$	III.	$x = \frac{7}{4}$
D.	$2x + 3 = x + 6$	IV.	$x = 6$

Choose the correct answer from the options given below:

2025: 27 May Shift 2

The pair of linear equations mx + 2y + 3 = 0 and 3x + 6y + 2 = 0 intersect each other, if

2026: 31 May Shift 1

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

A. $9x + 3y + 12 = 0$ ; and $18x + 6y + 24 = 0$

B. $2x - 3y = 13$ ; and $7x - 2y = 20$

C. $x + y = 5$ ; and $2x + 2y = 10$

D. $3x + y - 3 = 0$ ; and $2x + \dfrac{2}{3}y = 2$

Choose the correct answer from the options given below:

2023: 21 May Shift 1

A railway half-ticket costs half the full ticket. However the reservation charge for all the tickets is constant. One full reserved ticket for a journey is Rs.525. If the cost of one full and one half reserved ticket for the same journey is Rs.850, then what is the reservation charge per ticket?

If 6x−10y=106x - 10y = 106x−10y=10 and xx+y=57\frac{x}{x+y} = \frac{5}{7}x+yx​=75​, then (x-y) is equal to:

Solution

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CUET General Test Past Year Questions (Topic-Wise)

If $6x - 10y = 10$ and $\frac{x}{x+y} = \frac{5}{7}$ , then (x-y) is equal to: