Question

Solve the following pairs of equations by reducing them to a pair of linear equations :​

Answer 1

Answer:

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Step-by-step explanation:

now here 4/x+3y=14 can be represented as

4×1/x+3y=14

similarly 3/x-4y=23 can be represented as

3×1/x-4y=23

so let 1/x=k

thus resubstituting value of 1/x as k in both equations

we get

4k+3y=14 (1)

3k-4y=23 (2)

so multiplying (1) by 3 and (2) by 4

we get

12k+9y=42 (3)

12k-16y=92 (4)

so subtracting (4) from (3)

we get

25y=-50

so y=-2

thus substitute value of y in any of four equations

we get

k=5

so resubstituting value of k as 1/x

we get

1/x=k

1/x=5

ie 5x=1

so x=1/5=0.2

hence (x,y)=(0.2,-2) is solution of above linear equations