Secondary School Mathematics for Class 10>Chapter 3 - Linear Equations in Two Variables>TEST YOURSELF>Q 10

MEDIUM

10th CBSE

IMPORTANT

Earn 100

The difference between two numbers is $26$ and one number is three times the other. Find the numbers.

Important Questions on Linear Equations in Two Variables

MEDIUM

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 3 - Linear Equations in Two Variables>TEST YOURSELF>Q 11

Solve :

23 x + 29 y = 98, 29 x + 23 y = 110

.

HARD

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 3 - Linear Equations in Two Variables>TEST YOURSELF>Q 12

Solve :

6 x + 3 y = 7 x y

and

3 x + 9 y = 11 x y

.

EASY

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 3 - Linear Equations in Two Variables>TEST YOURSELF>Q 13

Find the value of

k

for which the system of equations

3 x + y = 1

and

k x + 2 y = 5

has no solution.

MEDIUM

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 3 - Linear Equations in Two Variables>TEST YOURSELF>Q 14

In a

Δ A B C, ∠ C = 3 ∠ B = 2 (∠ A + ∠ B)

. Find the measure of each one of the

∠ A, ∠ B

and

∠ C

.

HARD

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 3 - Linear Equations in Two Variables>TEST YOURSELF>Q 15

5

` pencils and

7

pens together cost

Rs . 195

while

7

pencils and

5

pens together cost

Rs . 153

. Find the cost of each one of the pencil and the pen.

MEDIUM

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 3 - Linear Equations in Two Variables>TEST YOURSELF>Q 16

Solve the following system of equations graphically :

$2 x - 3 y = 1, 4 x - 3 y + 1 = 0$ .

MEDIUM

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 3 - Linear Equations in Two Variables>TEST YOURSELF>Q 17

Find the angles of a cyclic quadrilateral

A B C D

in which

∠ A = (4 x + 20) °, ∠ B = (3 x - 5) °, ∠ C = (4 y) °

and

∠ D = (7 y + 5) °

HARD

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 3 - Linear Equations in Two Variables>TEST YOURSELF>Q 18

Solve for $x$ and $y$ : $\frac{35}{x + y} + \frac{14}{x - y} = 19, \frac{14}{x + y} + \frac{35}{x - y} = 37$