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Firstly, work out the cost of the tickets without any additional charges.(£10 x 4) + (£3 x 2) = £40 + £6 = £46Now, add on the 10% booking fee. 10 % of £46 = £46 x 0.10 = £4.60New cost = £46 + £4.60 = £50....

Step 1: First rearrange second equation for either x or y (in this example it is easier to make y the subject of the equation: y = 13+3xStep 2: Substitute the expression obtained for y into the first equa...

Times second equation by 2.6x + 2y = 22 4x + 2y = 16Cancel the y's to gain equation of just x's. 6x + 2y =22 4x + 2y = 16 - ------------------- 2x = 6 ; x = 3Substitute x into an equation.(2...

If we take an example question such as 20x² - 130 x = -20020x² - 130 x = -200 Divide by 10 to simplify2x² - 13x = -20 Take all of the terms to the left2x² - 13x...

Differentiating the equation for x with respect to t, we get: dx/dt=2Sqrt(3)cos(2t);Take the reciprocal of dx/dt to get dt/dx=1/[2Sqrt(3)cos(2t)]Using a trigonometric identity on the equation for y, we ge...