Maths Revision

Simultaneous comp bes Simultaneous pars argon devil equations with two unknowns. They ar called synchronous beca practice they must both be puzzle break through at the same time. The first step is to try to slip by bingle of the unknowns. Example: Solve these simultaneous equations and find the set of x and y. Equation 1: 2x + y = 7 Equation 2: 3x - y = 8 Add the two equations to egest the ys: 2x + y = 7 3x - y = 8 ------------ 5x = 15 x = 3 Now you can put x = 3 in either of the equations. Substitute x = 3 into the equation 2x + y = 7: 6 + y = 7 y = 1 So the answers are x = 3 and y = 1 Solving simultaneous equations using graphs Solving simultaneous equations using a graph is easier than you competency think. First, you need to eliminate the lines of the equations. The stops where the lines cross is the solution. Linear equations The graphs of linear equations go out give straight lines. Example: Solve these simultaneous equations by drawing graphs: 2x + 3y = 6 4x - 6y = - 4 For example, to draw the line 2x + 3y = 6 pick two easy numbers to plot.

One when x = 0 and ane where y= 0 When x = 0 in the equation 2x + 3y = 6 This essence 3y = 6 so y = 2 So one point on the line is (0, 2) When y = 0 2x = 6 so x = 3. So another point on the line is (3, 0). In an exam, only mathematical function this method if you are prompted to by a question. It is usually quicker to use algebra if you are not asked to use graphs. Linear and quadratic equation Example: Solve the simultaneous equations by drawing graphs . y - 2x= 1 y = x2 -2 changing the sub! ject of a formula ----------------------- Ratio A proportionality is a way to compare amounts of something. Recipes, for example, are sometimes wedded as proportions. To make pastry you whitethorn need to cockle 2 dismantles flour to 1 part fat. This means the ratio of flour to fat is 2 : 1. If pastry is 2 split flour to 1 part fat, then there are 3 parts (2 + 1) altogether. Two...If you insufficiency to get a sound essay, order it on our website: OrderEssay.net

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