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Question

Solve the follwoing for x and y using substitution method:
2.5x + 10y = 10, 3x - 12y = 24

A
x = 6, y = -0.5
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B
x = 2, y = -0.5
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C
x = -6, y = 2
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D
x = -6, y = 0.5
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Solution

The correct option is A x = 6, y = -0.5
2.5x + 10y = 10 --------(i)

3x - 12y = 24 --------(ii)

From equation (ii),

x=12y + 243

x = 4y + 8 --------(iii)

Plug this value in equation (i)

2.5(4y + 8) + 10y = 10

10y + 20 + 10y = 10

20y = -10

y = 1020

y = 12

y = -0.5

Plug the value of y in equation (iii):
x = 4y + 8

x = 42 + 8

x = -2 + 8

x = 6

The values of x and y are 6 and -0.5.

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