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Solve for x and y respectively 3x - 5y = 9 6x - 4y = 12


Question

Solve for x and y respectively
3x - 5y = 9
6x - 4y = 12

Options

A) \(\frac{3}{4}\), 1

B) \(\frac{4}{3}\), 1

C) \(\frac{3}{4}\), -1

D) \(\frac{4}{3}\), -1

The correct answer is D.

Explanation:

3x - 5y = 9 ------x2
6x - 4y = 12 -----x1
6x - 10y = 18
-6x - 4y = 12
____________
\(\frac{6y}{-6}\) = \(\frac{6}{6}\)
y = -1
in eq (1) 3x - 5y = 9
3x - 5(-1) = 9
3x + 5 = 9
3x = 4
x = \(\frac{4}{3}\)

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Dicussion (1)

  • 3x - 5y = 9 ------x2
    6x - 4y = 12 -----x1
    6x - 10y = 18
    -6x - 4y = 12
    ____________
    \(\frac{6y}{-6}\) = \(\frac{6}{6}\)
    y = -1
    in eq (1) 3x - 5y = 9
    3x - 5(-1) = 9
    3x + 5 = 9
    3x = 4
    x = \(\frac{4}{3}\)

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