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Solve the simultaneous equations: 3x+5y=19, 4x-2y=-18

For all simultaneous equations it is useful to number each one to keep your working clear and concise. In order to solve this we need to eliminate one of the variables (x or y) by manipulating the equations....
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Answered by Ben W. • Maths tutor
9964 Views

If 5x + 3y = 27 and 6x - 2y = 10, find x and y

5x + 3y = 27 (1)6x - 2y = 10 (2)Rearrange (1) to make x the subject.Subtracting - 3y from both sides gives5x = 27 - 3yDivide both sides by 5 givesx = (27 - 3y)/5Substitute (1) into (2) gives6(27 - 3y)/5 - 2y...
TA
Answered by Thomas A. • Maths tutor
3903 Views

expand (2x+4)(x+2)

For this question you can use a method called the foil method. The F stands for first therefore you times the 2 variables that are first in each bracket. 2x times x which gives you 2x^2. The O stands for out...
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Answered by Aiyshah F. • Maths tutor
5927 Views

A ladder of length 3.5m rests against a vertical wall and makes an angle of 40* with the floor. How far up the wall does top of the ladder reach?

We can use trigonometry to answer this question using the following steps: Sketch the question out Label the right angled triangle correctly (using information in the question)Identify the correct equation f...
HW
Answered by Helena W. • Maths tutor
4912 Views

Solve 4(3x + 2) = 12 - 5x

Step 1: Times out the brackets 12x + 8 = 12 -5x Step 2: Gather all 'x' values on one side and all non-'x' values on the other (12x + 5x = 12 - 8) -> 17x = 4 Step 3: Divide by the number next to the 'x'x =...
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Answered by Caitlin L. • Maths tutor
4707 Views