MT_IX_DMC_DAY_1_QUIZ_1_2023

When we consider two linear equations in two variables together, such equations are called as ____________.

• (A) simultaneous equations

• (B) linear equations

• (C) quadratic equations

• (D) non-linear equations

________ is the solution of following simultaneous equations:

x – y = 7 x + y = 11

• (A) (–3, –8)

• (B) (–9, –2)

• (C) (9, 2)

• (D) (6, 5)

4x + 5y = 19, if x = 1 is taken then what will be the value of y?

• (A) 4

• (B) 3

• (C) 2

• (D) −3

One of the solutions of equation x + 7y = 10 is _____.

• (A) (3, −1)

• (B) (−3, 1)

• (C) (−4, 2)

• (D) (4, 2)

Which of the following is not the solution of 3x + 6y = 12?

• (A) (-4, 4)

• (B) (0, -2)

• (C) (8, -2)

• (D) (2, 1)

The pair of simultaneous equations from the following is _______ .

(1) 2x + 2y = 7                     (2) 4x + 3z = 9

(3) 3y + 4z = 8                      (4) 3z + 9x = 18

• (A) 1 and 2

• (B) 2 and 3

• (C) 3 and 4

• (D) 2 and 4

If (a, 3) is the solution of equation 5x + 2y = – 4 then a = ____.

• (A) 2

• (B) – 2

If 3x + 5y = 9 and 5x + 3y = 7 then what is the value of x + y?

• (A) 2

• (B) 16

• (C) 9

• (D) 7

Ajay is younger than Vijay by 5 years. Sum of their ages is 25 years. What is Ajay’s age?

• (A) 20

• (B) 15

• (C) 10

• (D) 5

Express the following information in mathematical form using x and y variables:

One number is 5 more than seven times the other number.

• (A) x – 5y = 7

• (B) x – 7y = 5

• (C) x + 7y = 5

• (D) x – 7y = –5