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Solve the simultaneous equations: 4x + 2y = 26 and 3x + 3y = 21

Let eq 1 = 4x + 2y = 26 eq 2 = 3x + 3y = 21 Using the elimination method: You need to make either the xs or ys have the same constant term in both equations( sign does no...

Answered by Dermot N. • Maths tutor

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A four sided pyramid, with a vertical height of 10cm and the base 4cmx4cm is placed on the top of a cylinder with radius 1.5cm and a height of 15cm. What is the exposed surface area?

Bottom end of cylinder = 1.5²x pi = 7.07cm²Cylinder shaft surface area = 3 x pi x 15 = 141.4cm²Top end of cylinder exposed = 0 Base of pyramid exposed = (4 x 4) - 7.07 = 8...

Answered by George W. • Maths tutor

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The mean mass of a squad of 19 hockey players is 82 kg A player of mass 93 kg joins the squad. Work out the mean mass of the squad now.

"Mean" stands for "average", so if you add the mass of all the players together, then divide by the amount of players, you get 82kg. [ (number of players) x (mean mass) = (sum of mass)...

Answered by Henry H. • Maths tutor

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Solve the simultaneous equations: 2x - y = 1, 3x + y = 14

Make y the subject of equation 1:y = 2x - 1Substitute this value of y into equation 2:3x + (2x - 1) = 14Simplify:5x - 1 = 14Solve for x:x = 3Substitute this value of x into original equation:2(3) - y = 1S...

Answered by Stephen B. • Maths tutor

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