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solve by reducing method 4 by x + 3y = 14 and 3 by x - 4y = 23

Posted by Himanshu Jha 5 years, 5 months ago

CBSE > Class 10 > Mathematics

2 answers

Yogita Ingle 5 years, 5 months ago

4/x + 3y=14 and 3/x - 4y=23

Let 1/x = m,

4m + 3y = 14...(1)

and 3m - 4y = 23 ... (2)

Multiply (1) by 4 and (2) by 3, we get

16m + 12y = 56 ... (3) and 9m - 12y = 69 .... (4)

Adding (3) and (4), we get

25m = 125

→ m = 5

From (1),

4(5) + 3y = 14

→ 3y = 14 - 20

→ y = -2 and m = 1/x = 5 → x = 1/5

0Thank You

? Pranali.A.P ? 5 years, 5 months ago

x=1/5, y=-1

0Thank You

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CBSE > Class 10 > Mathematics