Linear Equation with two variables

Q1. If 2x + 3y = 29 and y = x +3, what is the value of x ?
(a) 2
(b) 4
(c) 6
(d) 8

Q2. If (2, k) is a solution of 3x + y - 5 = 0, then k = ?
(a) -1
(b) -2
(c) -4
(d) -5

Q3. If 3x + 7y = 72 and 5x - 5y = 20, then what is x + y
(a) 12
(b) 15
(c) 16
(d) 18

Q4. If x + 1/y = 5, 2x + 3/y = 13, then (2x - 3y) = ?
(a) 1
(b) 3
(c) 6
(d) 7

Q5. If 2x - 3y = 5 and (x+y)/x = 3/7 then x + y = ?
(a) 102/27
(b) 113/16
(c) 121/29
(d) 135/26

Q6. The system of equations kx - y = 2 and 6x - 2y = 3 has a unique solution when
(a) 2
(b) 3
(c) 4
(d) 5

Q7. The cost of 2 sarees and 4 shirts is Rs. 16000 while cost of one saree is equal to cost of 6 shirts. The cost of 10 shirts is
(a) 5,000
(b) 8,000
(c) 10,000
(d) 12,000

Q8. For what value of k, the system of equations kx - 3y + 2 = 0 and 6x - 2y + 3 = 0 has a unique solution ?
(a) 9
(b) 11
(c) 15
(d) 16

Q9. If x/4 + y/3 = 5/12 and x/2 + y = 1 then the value of 2x + y is
(a) 1/3
(b) 5/2
(c) 5/3
(d) 6/7

Q10. If 2a + 3b = 17 and 2a+2 - 3b+1 = 5 then a = ?, b = ?
(a) a = 3, b = 2
(b) a = 1, b = 3
(c) a = 2, b = 5
(d) a = 3, b = 5

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