PPT: Pair of Linear Equations in Two Variables

# PPT: Pair of Linear Equations in Two Variables | Mathematics (Maths) Class 10 PDF Download

``` Page 1

PAIR OF LINEAR
EQUATIONS IN TWO
VARIABLES
CLASS 10
Page 2

PAIR OF LINEAR
EQUATIONS IN TWO
VARIABLES
CLASS 10
2x + 3 = 0
Linear equation in one variable:
2x = - 3 x = -3/2
x + y = 176
Linear equation in two variable:
we can’t find x and y
with only one equation!
Page 3

PAIR OF LINEAR
EQUATIONS IN TWO
VARIABLES
CLASS 10
2x + 3 = 0
Linear equation in one variable:
2x = - 3 x = -3/2
x + y = 176
Linear equation in two variable:
we can’t find x and y
with only one equation!
Example
Nisha went to a carnival and wanted to enjoy rides on the
Roller Coaster and play the Shooting Game. The number of
times she played the Shooting Game is half the number of
rides she had on the Roller Coaster. If each ride costs Rs 5,
and a game of Shooting costs Rs 8, how can we determine
the number of rides she had and how many times she
played the Shooting Game, provided she spent Rs 90?
Page 4

PAIR OF LINEAR
EQUATIONS IN TWO
VARIABLES
CLASS 10
2x + 3 = 0
Linear equation in one variable:
2x = - 3 x = -3/2
x + y = 176
Linear equation in two variable:
we can’t find x and y
with only one equation!
Example
Nisha went to a carnival and wanted to enjoy rides on the
Roller Coaster and play the Shooting Game. The number of
times she played the Shooting Game is half the number of
rides she had on the Roller Coaster. If each ride costs Rs 5,
and a game of Shooting costs Rs 8, how can we determine
the number of rides she had and how many times she
played the Shooting Game, provided she spent Rs 90?
No. of rides that Nisha had = x
No. of times that Nisha played shooting
game= y
y = ½ x
5 x + 8y = 90
Forming the two equations according to the
question:
Page 5

PAIR OF LINEAR
EQUATIONS IN TWO
VARIABLES
CLASS 10
2x + 3 = 0
Linear equation in one variable:
2x = - 3 x = -3/2
x + y = 176
Linear equation in two variable:
we can’t find x and y
with only one equation!
Example
Nisha went to a carnival and wanted to enjoy rides on the
Roller Coaster and play the Shooting Game. The number of
times she played the Shooting Game is half the number of
rides she had on the Roller Coaster. If each ride costs Rs 5,
and a game of Shooting costs Rs 8, how can we determine
the number of rides she had and how many times she
played the Shooting Game, provided she spent Rs 90?
No. of rides that Nisha had = x
No. of times that Nisha played shooting
game= y
y = ½ x
5 x + 8y = 90
Forming the two equations according to the
question:
y = ½ x 5 x + 8y = 50
Algebraic Method of Solving
Substituting value
of y
5 x + 8(1/2)x = 90
5 x + 4x = 90
9x = 90
x=10
y = ½ x
y = ½ (10)
y = 5
? x is 10 and y is 5
```

## Mathematics (Maths) Class 10

126 videos|477 docs|105 tests

## FAQs on PPT: Pair of Linear Equations in Two Variables - Mathematics (Maths) Class 10

 1. What is a pair of linear equations in two variables?
Ans. A pair of linear equations in two variables is a set of two equations that contain two variables and can be represented graphically as two lines on a coordinate plane.
 2. How can a pair of linear equations in two variables be solved?
Ans. A pair of linear equations in two variables can be solved using methods such as substitution, elimination, or graphing to find the values of the variables that satisfy both equations simultaneously.
 3. What is the significance of finding the solution to a pair of linear equations in two variables?
Ans. The solution to a pair of linear equations in two variables represents the point of intersection of the two lines on the coordinate plane, indicating where the two equations are true at the same time.
 4. Can a pair of linear equations in two variables have more than one solution?
Ans. A pair of linear equations in two variables can have one unique solution, no solution (parallel lines), or infinite solutions (coincident lines) depending on the relationship between the two equations.
 5. How are pair of linear equations in two variables used in real-life applications?
Ans. Pair of linear equations in two variables are commonly used in various real-life situations such as solving problems related to cost and revenue, distance and speed, mixture and investment, and more to make informed decisions.

## Mathematics (Maths) Class 10

126 videos|477 docs|105 tests

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