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Make x the subject of 5(x-3) = y(4-3x)

First expand out the brackets: 5x-15 = 4y -3xy Then re-arrange to bring all the x terms to one side: 5x+3xy = 4y +15 Now factorise: x(5+3y) = 4y + 15 Now we have isolated the x term, we can divide both sides...
AI
Answered by Alisha I. • Maths tutor
19940 Views

How do I multiply and divide indices?

First you need to understand what an index (or power) is. It’s just a compact way of writing a number multiplied by itself a number of times. For example: 3 4 = 3x3x3x3 and a 2 = axa. If two indices have the...
SM
Answered by Sarah M. • Maths tutor
14363 Views

Solve the simultaneous equations: 6x + 2y = -3, 4x - 3y = 11

(1) 6x + 2y = -3 (2) 4x - 3y = 11 Multiply by 3 so that the coefficients of y are the same 3 x (1) 18x + 6y = -9 3 x (2) 8x - 6y = 22 Add these 2 together to eliminate y 26x = 13 Divide by 26 to get x x = 1/...
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Answered by David H. • Maths tutor
6764 Views

Find the difference between the areas of these 2 shapes to 2 decimal places. Rectangle (width 4cm length 2.5cm) Circle (diameter 2.4) use pi = 3.14

Rectangle: Area = width x length hence area = 4cm x 2.5cm area = 10cm 2 Circle: Area = pi x radius 2 Radius = 1/2 x diameter Radius = 1.2cm Area = 1.2 2 x 3.14 Area = 1.44 x 3.14 Area = 4.5216 Difference bet...
LH
Answered by Lyam H. • Maths tutor
9128 Views

If the area of a rectangle with sides 3cm and (4+x)cm is equal to that of a triangle with base of 2xcm and a height of 4cm, find x

First, if the question does not already have one, draw a diagram. Area of a rectangle is base * height and area of a triangle is 1/2 * base * height. As the two areas are the same, you know you can set the t...
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Answered by Alice K. • Maths tutor
5033 Views