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Simultaneous equations - Solution by substitution As the variables (x & y) are the same in both equations , we can substitute from one equation into the other. This will give an equation with just one va...

First, write out the equations beneath each other: 4x + y = 14 6x - y = 16 Then, label the equations a and b (let's take the top one as a, and the bottom one as b) We always look to eliminate either the x te...

Take any quadratic equation, eg/ 3x 2 +4x-2=5 , and rearrange to equal 0 , ie/ 3x 2 +4x-7=0 (if you have an expression, ie/ there is no equals sign, then simply equate the expression to 0 ). Now, we use the ...

For any right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is the sum of the square of the remaining two sides.

Adding (and subtracting) fractions is more difficult than multiplying them because we need to make sure that the denominators (bottom numbers) are equal in both fractions. To do this, we may need to change t...