Maths Revision

Simultaneous equatings Simultaneous equivalences argon devil equations with two unknowns. They ar called synchronous beca practice they must both be work surface at the same time. The first step is to try to extinguish bingle of the unknowns. Example: Solve these coinciding equations and find the value of x and y. Equation 1: 2x + y = 7 Equation 2: 3x - y = 8 Add the two equations to bear away 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 ar 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 pass away the lines of the equations. The stops where the lines cross is the solution. Linear equations The g raphs 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 character 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 e quation Example: Solve the simultaneous equ! ations by drawing graphs. y - 2x= 1 y = x2 -2 changing the subject of a formula ----------------------- Ratio A proportionality is a way to compare amounts of something. Recipes, for example, are sometimes give as proportions. To make pastry you whitethorn need to unify 2 dismantles flour to 1 part fat. This means the ratio of flour to fat is 2 : 1. If pastry is 2 move flour to 1 part fat, then there are 3 parts (2 + 1) altogether. Two...If you insufficiency to get a panoptic essay, order it on our website: OrderCustomPaper.com

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