Practice Test · Class 10

Pair of Linear Equations in Two Variables

10 questions randomised from the chapter. Type each final answer and submit to see your score.

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0/10 attempted

Find

k

for which

2x + 3y = 4

and

kx + 6y = 8

have infinitely many solutions.

Solve

3x - 5y = -1,\; x - y = -1

by substitution.

Half the perimeter of a rectangle is

36

m and length exceeds width by

4

m. Find dimensions.

Solve

2x + 3y = 11,\; 2x - 4y = -24

Solve

2x + y = 5,\; 3x + 2y = 8

by cross-multiplication.

Father is 3 times son's age; in 12 years he'll be twice. Present ages?

Pen cost

p

, book

b

5p + 6b = 250,\; 6p + 5b = 240

. Find

p, b

\dfrac{2}{x} + \dfrac{3}{y} = 13,\; \dfrac{5}{x} - \dfrac{4}{y} = -2

Solve

x + y = 7,\; x - y = 3

For what

k

does

3x + y = 1, (2k-1)x + (k-1)y = 2k+1

have no solution?