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Solve the following system of equations.

0.12x - 0.07y = -1.35

0.4x + 0.8y = 4.8

1 Answer

6 votes

Answer:

x = -6 and y = 9

Explanation:

It is given that,

0.12x - 0.07y = -1.35 -----(1)

0.4x + 0.8y = 4.8 -----(2)

To find the value of x and y

eq(1) * 100 ⇒

12x + 7y = -135 -----(3)

eq(2) /0.4 ⇒

x + 2y = 12 -----(4)

eq(4) * 12 ⇒

12x + 24y = 144 ---(5)

eq(5) - eq(3) ⇒

12x + 24y = 144 ---(5)

12x - 7y = -135 -----(3)

0 + 31y = 279

y = 279/31 = 9

Substitute the value of y in eq(4)

x + 2y = 12 -----(4)

x + 2*9 = 12

x = 12 - 18 = -6

Therefore x = -6 and y = 9

User Peter Kreinz
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