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stepladder [879]

4 years ago

9

Determine the coefficient matrix of the system of equations latex: 3x-2y = 7,\; x+4y=2. 3 x − 2 y = 7 , x + 4 y = 2. what is the

determinant? g

1 answer:

Amanda [17]4 years ago

4 0

When put in matrix form, the coefficients of

... 3x -2y = 7

... x + 4y = 2

look like

$\left[\begin{array}{cc}3&-2\\1&4\end{array}\right]$

The determinant is 3×4 - 1×(-2) = 14.

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Step-by-step explanation:

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Substitute 25 for <em>d</em> and 16 for <em>h</em> in the third equation to find <em>q</em>, the number of quarters:

$q=4(d+h)\\q=4(25+16)\\q=4(41)\\q=164$

Then, verify that the coins total $74:

$0.25(164)+0.50(16)+1.00(25)=74\\41+8+25=74\\74=74\\\text{Check.}$

Next, verify that the number of half-dollar coins is one more than three-fifths of the number of one-dollar coins:

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