Questions: -2x + 14y = 148 3x + 5y = 246 (148 14 246 5) / (-2 14 3 5) = 52

-2x + 14y = 148 3x + 5y = 246 (148 14 246 5) / (-2 14 3 5) = 52
Transcript text: \[ \begin{array}{l} -2 x+14 y=148 \\ 3 x+5 y=246 \\ \frac{\left|\begin{array}{cc} 148 & 14 \\ 246 & 5 \end{array}\right|}{\left|\begin{array}{cc} -2 & 14 \\ 3 & 5 \end{array}\right|}=52 \end{array} \]
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Solution

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Solution Steps

Step 1: Calculate the determinant of the numerator

The determinant of the numerator is (148 * 5) - (14 * 246) = 740 - 3444 = -2704.

Step 2: Calculate the determinant of the denominator

The determinant of the denominator is (-2 * 5) - (14 * 3) = -10 - 42 = -52.

Step 3: Divide the numerator determinant by the denominator determinant

-2704 / -52 = 52

Final Answer

52

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