Question

For what value of ‘k’, the pair of linear equations kx + 3y = 11 and x + y = 7 will be inconsistent.

Answer 1

Answer:

kx+3y=11..........i

x+y=7.........ii

ATQ, it has given that the equation in inconsistent.

so, a1/a2 = b1/b2

so kx/x = 3y/y

therefore, k=3

Thank you

Answer 2

Step-by-step explanation:

DISTRICT COMMON EXAMINATION BOARD, WARANGAL URBAN

SLIP TEST – IX

MATHEMATICS

PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

Class :X(Max.Marks : 20)Time : 1Hr.

I. Answer ALL the following questions . 3 X 1 = 3

1. For what value of ‘k’, the pair of linear equations kx + 3y = 11 and x + y = 7 will be

inconsistent.

2. Write the condition for which the pair of linear equations are coincident.

3. Sum of the ages of A and B is 33 years and the age of A is 7 less than the thrice of the

age of B. Find the ages of A and B.

II. Answer ALL the following questions . 3 X 2 = 6

4. Solve the pair of linear equations 2x + 3y = 8 and x + 3y = 7 by elimination method.

5. Two angles are supplementary. The larger angle 120

greater than the twice the measure of

the smaller angle. Find the measure of each angle.

6. Solve the pair of linear equations x + 2y = 1 and 2x – y = 12 by substitution method.

III. Answer ALL the following questions . 2 X 4 = 8

7. Represent the pair of linear equations 2x + y=8 and 3x – 2y = 5 graphically and find their

solutions.

OR

Represent the pair of linear equations x – y = 7 and – 3x + 3y = 5 graphically and check

whether they are inconsistent or not.

8. Solve the following pair of equations by reducing them to a pair of linear equations

ଶ௫ ା ଷ௬

௫௬

and

௫ି௬

௫௬

OR

5apples and 8 Oranges together cost Rs. 155 where as 8 apples and 5 oranges together

cost Rs.170. Find the cost of one apple and one orange by forming the pair of linear

equations.

27th May, 2020