I really need help with this question
1 answer:
In the matrix, the first row is exactly twice the second. This implies that the determinant is zero.
If the matrix system has determinant zero, the system has either no solutions or infinite solutions.
However, just like in the matrix, in the constant vector the first term is twice the second. This means that the system has infinite solutions.
In fact, if you write this system in expanded form, you can see that it generates two equations, the first being twice the second:
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X = amount of seeds.
y = amount of dried fruits.
we know the snack mix contains both, and we know is 10oz, thus x + y = 10, whatever ounces "x" and "y" are.
how much is it for "x" ounces if each one costs $1.5? well is just 1.5*x or 1.5x.
how much is it for "y" ounces if each one costs $2.5? well is just 2.5*x or 2.5x.
the mix contains 10 ounces, each of which costs $2.2 each, how much will it be then for 10 oz? well, is just 10 * 2.2, or $22.
since the whole 10 oz snack mix costs 22 bucks, then 1.5x + 2.5y = 22.
how many ounces of dried fruit is there anyway? well, y = 10 - x.
y = amount of dried fruits.
we know the snack mix contains both, and we know is 10oz, thus x + y = 10, whatever ounces "x" and "y" are.
how much is it for "x" ounces if each one costs $1.5? well is just 1.5*x or 1.5x.
how much is it for "y" ounces if each one costs $2.5? well is just 2.5*x or 2.5x.
the mix contains 10 ounces, each of which costs $2.2 each, how much will it be then for 10 oz? well, is just 10 * 2.2, or $22.
since the whole 10 oz snack mix costs 22 bucks, then 1.5x + 2.5y = 22.
how many ounces of dried fruit is there anyway? well, y = 10 - x.