Pair of Linear Equations in Two Variables, Course Quiz

How many solutions does the pair

x - 3y = 2

and

2x - 6y = 4

have?

A None

B Exactly two

C Infinitely many

D Exactly one

The pair

4x + 6y = 9

and

2x + 3y = 7

is:

A Inconsistent

B Consistent with a unique solution

C Dependent

D Consistent with two solutions

Find

k

so that

kx + 3y = 6

and

4x + 6y = 12

have infinitely many solutions.

A

8

B

4

C

2

D

\displaystyle \dfrac{1}{2}

Solve

x + y = 11

and

x - y = 3

.

A

x = 7

,

y = -4

B

x = 7

,

y = 4

C

x = 4

,

y = 7

D

x = 8

,

y = 3

Solve

2x + 5y = 16

and

3x - 2y = 5

.

A

x = 8

,

y = 0

B

x = 3

,

y = 2

C

x = 3

,

y = -2

D

x = 2

,

y = 3

When substitution reduces a pair to

5 = 5

, the lines are:

A Intersecting at

(5, 5)

B Perpendicular

C Coincident

D Parallel

Five chairs and two tables cost ₹

5400

; two chairs and one table cost ₹

2400

. What is the price of one table?

A ₹

600

B ₹

1200

C ₹

1000

D ₹

1800

A father is

25

years older than his son, and the sum of their ages is

45

. How old is the son?

A

15

years

B

35

years

C

10

years

D

20

years

A fraction becomes

\displaystyle \dfrac{1}{2}

when

1

is added to both numerator and denominator, and

\displaystyle \dfrac{1}{3}

when

1

is subtracted from both. Find it.

A

\displaystyle \dfrac{3}{7}

B

\displaystyle \dfrac{4}{9}

C

\displaystyle \dfrac{2}{5}

D

\displaystyle \dfrac{3}{5}

Which equation, with

x = 2y + 1

substituted, is obtained from

3x - 4y = 7

?

A

3(2y + 1) - 4y = 7

B

6y + 1 - 4y = 7

C

3x - 4(2y + 1) = 7

D

3(2y + 1) - 4x = 7

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Pair of Linear Equations in Two Variables, Course Quiz

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