1.

Solve the following pairs of equation by reducing them to a pair of linear equations.1/4x + 1/3y = 3/2 and 1/5x + 1/2y = 19/10 please explain the answer ​

Answer»

Step-by-step explanation:

let 1/X be A and 1/y be B

4A + 3B = 3/2

5A + 2B = 19/10

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8A + 6B = 3 MULTIPLY with 10

50A + 20B = 19 multiply with 3

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80A + 60B = 30

150A + 60B = 57. ( subtraction so signs change)

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- 70A = - 27

A= -27/-70

A= 27/70

Substitute in this 8A + 6B = 3

8(27/70) + 6B = 3

216+ 420B = 3× 70

420B = 210- 216

B = -6/420

B = -1/70

therefore X = 70/27 = 2.59

and Y = - 70

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