Math, asked by komalhothi08, 1 month ago

solve using cross-multiplication :
(it will be good if u use the '2312' formula,then I will give brainliest)

4x + 6y = 15
3x - 4y = 7 ​

Answers

Answered by HARSHU570
0

Answer:

are partner sharing profit and lossees in the ration of 5:3:2 they admit A into partnership and give him 1/5th share of profits . Find the new profit -sharing ra

Answered by mrigakshichoudhury19
1

Answer:

Given equations are 4x+6y=15 and 3x−4y=7

By cross multiplication method, we know that, for a system of linear equations in x and y, of the form a

1

x+b

1

y+c

1

=0 and a

2

x+b

2

y+c

2

=0, we have:

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

∴ x=

a

1

b

2

−a

2

b

1

b

1

c

2

−b

2

c

1

and y=

a

1

b

2

−a

2

b

1

c

1

a

2

−c

2

a

1

On comparing with a

1

x+b

1

y+c

1

=0 and a

2

x+b

2

y+c

2

=0 we have,

a

1

=4,b

1

=6,c

1

=−15 and a

2

=3,b

2

=−4,c

2

=−7

∴ x=

a

1

b

2

−a

2

b

1

b

1

c

2

−b

2

c

1

and y=

a

1

b

2

−a

2

b

1

c

1

a

2

−c

2

a

1

⇒x=

4×(−4)−3×6

6×(−7)−(−4)×(−15)

and y=

4×(−4)−3×6

−15×3−(−7)×4

⇒x=

−16−18

−42−60

and y=

−16−18

−45+28

⇒x=

−34

−102

and y=

−34

−17

⇒x=3 and y=

2

1

This is the required solution of the given system of equations using the cross multiplication method.

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