Maths: Applications and Interpretation · Number and algebra. The idea in plain words, the rules to remember, the mistake to avoid and a worked example, written and checked by Mega Lecture.
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A system of linear equations is a set of equations that must all be true at once. You need as many equations as unknowns: two for x and y, three for x, y and z. In this course you solve them with the simultaneous equation solver on your calculator, so the real skill is setting them up correctly from the words.
A polynomial equation such as a quadratic or cubic is solved with the polynomial solver or by finding the zeros of its graph. Always rearrange so that one side is zero first.
Then interpret the answers. A negative length, or a value outside the stated domain, is not a valid answer in context.
Students enter the wrong sign for a coefficient, or forget to move every term to one side before using the polynomial solver. For x3 + 2x = 20 the coefficients to enter are 1, 0, 2 and −20.
Answer: One coffee costs $4.50
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