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# Test: Substitution Method

## 10 Questions MCQ Test Mathematics (Maths) Class 10 | Test: Substitution Method

Description
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. The solved questions answers in this Test: Substitution Method quiz give you a good mix of easy questions and tough questions. Class 10 students definitely take this Test: Substitution Method exercise for a better result in the exam. You can find other Test: Substitution Method extra questions, long questions & short questions for Class 10 on EduRev as well by searching above.
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 = 0.1​x-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:

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: