tori uses 1/4 yard of fabric to make a eyeglass case. how many can she make out of 3 yards of fabric? write a division equation.
1 answer:
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Answer:
- (x, y) = (3, 5)
- (x, y) = (1, 2)
Step-by-step explanation:
A nice graphing calculator app makes these trivially simple. (See the first two attachments.) It is available for phones, tablets, and as a web page.
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The usual methods of solving a system of equations involve <em>elimination</em> or <em>substitution</em>.
There is another method that is relatively easy to use. It is a variation of "Cramer's Rule" and is fully equivalent to <em>elimination</em>. It makes use of a formula applied to the equation coefficients. The pattern of coefficients in the formula, and the formula itself are shown in the third attachment. I like this when the coefficient numbers are "too messy" for elimination or substitution to be used easily. It makes use of the equations in standard form.
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1. In standard form, your equations are ...
- 2x -3y = -9
- 5x +2y = 25
Then the solution is ...
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2. In standard form, your equations are ...
- 3x +2y = 7
- 2x +5y = 12
Then the solution is ...
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<em>Note on Cramer's Rule</em>
The equation you will see for Cramer's Rule applied to a system of 2 equations in 2 unknowns will have the terms in numerator and denominator swapped: ec-bf, for example, instead of bf-ec. This effectively multiplies both numerator and denominator by -1, so has no effect on the result.
The reason for writing the formula in the fashion shown here is that it makes the pattern of multiplications and subtractions easier to remember. Often, you can do the math in your head. This is the method taught by "Vedic maths" and/or "Singapore math." Those teaching methods tend to place more emphasis on mental arithmetic than we do in the US.
<h2>Answer:</h2>
In this problem, we need to find the value of the given expression for which we need to simplify the given expression.
We need to solve the numbers within the parentheses.
We can bring the constant one side and variables another side.
Taking fourth root for ‘8’ and ‘3’ will give numbers which are very tough to solve further.
Since, we cannot solve the above equation further. The value of the given equation remains,