Question

solve 2x+4y =24 and 15x+20y=130 by substistution method

Answer 1

Answer:

Given,

2x + 4y = 24 .................(1)

15x + 20y = 130 .................(2)

From Equation (1), we get

x = (24 - 4y) / 2

x = 2(12 - 2y) / 2

x = 12 - 2y .................(3)

Putting value of x in Equation (2) , we get

15(12 - 2y) + 20y = 130

=> 180 - 30y + 20y = 130

=> 180 - 10y = 130

=> 180 - 130 = 10y

=> 150 = 10y

=> 10y = 150

=> y = 150/10

=> y = 15

Putting value of y in Equation (3), we get

x = 12 - 2y

=> x = 12 - 2(15)

=> x = 12 - 30

=> x = -18

Hence, x = -18

&. y = 15

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