The correct option is B x=18, y=15 x 6 + y 15 =4 = gt; 15x+6y 90 =4 = gt;15x+6y=360 = gt;5x+2y=120 x 3 y 12 = 1 ...

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Reducing Equations to Simpler Form

x6 +y15=4 x3...

Question

$\frac{x}{6} + \frac{y}{15} = 4$

$\frac{x}{3} - \frac{y}{12} = 4 \frac{3}{4}$

x = 18, y = 25

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x = 18, y = 15

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x = 15, y = 18

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x = 25, y = 18

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Solution

The correct option is B $x = 18, y = 15$
$\frac{x}{6} + \frac{y}{15} = 4 => \frac{15 x + 6 y}{90} = 4 => 15 x + 6 y = 360 => 5 x + 2 y = 120 \frac{x}{3} - \frac{y}{12} = \frac{19}{4} => \frac{12 x - 3 y}{36} = \frac{19}{4} => 12 x - 3 y = 171 => 4 x - y = 57 => 4 x - (\frac{120 - 5 x}{2}) = 57 => 8 x - 120 + 5 x = 114 => 13 x = 234 => x = 18 5 x + 2 y = 120 => 5 \times 18 + 2 y = 120 => 90 + 2 y = 120 => y = 15$
$x = 18$ and $y = 15$

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