Question

Solve the following using the cross multiplication method
(a) 4x+7y=23
5x+2y=(-25)
(b) 6x+4y=14
6x-9y+12=0

Answer 1

Answer:

3x+2y=10---(1)

4x−2y=4---(2)

Using formula for cross multiplication method:

(b  

1

​  

c  

2

​  

−b  

2

​  

c  

1

​  

)

x

​  

=  

(c  

1

​  

a  

2

​  

−a  

1

​  

c  

2

​  

)

y

​  

=  

(a  

1

​  

b  

2

​  

−a  

2

​  

b  

1

​  

)

−1

​  

 

So, from equation (1) and (2) we can write the value of a,b and c.

2×4−(−2)×10

x

​  

=  

10×4−3×4

y

​  

=  

3×(−2)−4×2

−1

​  

 

8+20

x

​  

=  

40−12

y

​  

=  

−6−8

−1

​  

 

28

x

​  

=  

28

y

​  

=  

−14

−1

​  

 

28

x

​  

=  

−14

−1

​  

 

−14x=−28

x=2

28

y

​  

=  

−14

−1

​  

 

−14y=−28

y=2

Therefore, x=2,y=2

Step-by-step explanation:

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