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This mock test of Test: Substitution Method for Class 10 helps you for every Class 10 entrance exam.
This contains 10 Multiple Choice Questions for Class 10 Test: Substitution Method (mcq) to study with solutions a complete question bank.
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QUESTION: 1

Find the solution to the following system of linear equations:

0.2x + 0.3y = 1.2

0.1x – 0.1y = 0.1

Solution:

0.2x + 0.3y = 1.2

2x+3y=12 …..(1)

0.1x – 0.1y = 0.1x-y=1 ….(2)

From (2), x=1+y

Substituting the values of x in (1)

2(1+y)+3y=12

2+2y+3y=12

5y=10

y=2

x=1+2= 3

QUESTION: 2

Find the solution to the following system of linear equations: 3x-y+9=0 3x+4y-6 = 0

Solution:

3x-y+9=0 …(1)

3x+4y-6=0 …(2)

From 1

3x=y-9

Substituting in 2

y-9+4y-6=0

5y-15=0

y=3

x=-2

QUESTION: 3

Find the solution to the following system of linear equations:

2x-y+6=0 4x+5y-16 = 0

Solution:

2x-y+6=0

y=2x+6 ….(1)

4x+5y-16=0

Substituting the values

4x+5(2x+6)-16=0

14x+14=0

x=-1

y=4

QUESTION: 4

Find the solution to the following system of linear equations:

2p+3q = 9 p – q = 2

Solution:

QUESTION: 5

Find the solution to the following system of linear equations:

2x-5y+4 = 0 2x+y-8 = 0

Solution:

QUESTION: 6

The sum of two numbers is 45 and one is twice the other. What is the smaller number?

Solution:

QUESTION: 7

Find the solution to the following system of linear equations:

x-2y = 6

2x+y = 17

Solution:

** The correct answer is a.**

**x-2y = 6 **

**2x+y = 17**

**2x - 4y = 12**

**2x + y = 17**

** -5y = -5**

** y = 1**

**x-2(1) = 6**

**x= 8**

QUESTION: 8

The present age of a father is the sum of the ages of his three sons. Ten years from now his age will be a three quarter of the sum of their ages then. How old is the father?

Solution:

QUESTION: 9

Which of the following points lie on the line 3x+2y = 5 ?

Solution:

When we are given only one equation and two variables we assume values for one variable and find the values for the other variable.

3x+2y=5

Let x=1

3*1+2y=5

2y=2

y=1 hence (1,1) lies on the line.

QUESTION: 10

The Index of Coincidence for English language is approximately

Solution:

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