Question

За + 4b = 7 За - 4b = - 1 by using cross multiplication method ​

Answer 1

Step-by-step explanation:

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Class 10

>>Maths

>>Pair of Linear Equations in Two Variables

>>Algebraic Methods of Solving a Pair of Linear Equations

>>Solve by cross multiplicati...

Question

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Solve by cross multiplication method:

4x−5y=−7

4x−y=5

Medium

Solution

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Correct option is

C

x=2,y=3

Given equation are

4x−5y+7=0

4x−y−5=0

Comparing that equation

a

1

x+b

1

y+c

1

=0

a

2

x+b

2

y+c

2

=0

Then,

a

1

=4,b

1

=−5,c

1

=7

a

2

=4,b

2

=−1,c

2

=−5

By cross multiplication method,

b

1

c

2

−b

2

c

1

x

=

c

1

a

2

−c

2

a

1

y

=

a

1

b

2

−a

2

b

1

1

(−5)(−5)−(−1)(7)

x

=

(7)(4)−(−5)(4)

y

=

(4)(−1)−(4)(−5)

1

25+7

x

=

28+20

y

=

−4+20

1

32

x

=

48

y

=

16

1

x=

16

32

and y=

16

48

=3

x=2 and y=3