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

(1) Get rid of the fraction by multiply both sides by (4-x), we now have y(4-x)=3x+5. (2) Expand any brackets, so 4y-py=3x+5. (3) Rearrange to get all the x to one side: 4y-5=3x+px. (4) Factorise x because w...
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Answered by Gwen F. • Maths tutor
12877 Views

A and B are two points. Point A has coordinates (–2, 4). Point B has coordinates (8, 9). C is the midpoint of the line segment AB. Find the coordinates of C

Think about the x-coordinate and the y-coordinate separately. Starting with the x-coordinate: Find the difference between the two x-coordinates -2 and 8, which is 10. to find the mid-point, we need to half t...
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Answered by Gwen F. • Maths tutor
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What is red shift?

You see colours due to the length of a wave of light. When a distant galaxy is moving away from us the wavelength increases due to the Doppler Effect (which you may have studied using the sound of a passing ...
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Answered by Carys L. • Maths tutor
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Solve the two simultaneous equations: 2x - 5y = 11 and 3x + 2y = 7

Step One: Write the first equation and then write the second equation underneath. Label the first equation A and the second equation B. You can now see clearly that each equation contains an x component and ...
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Answered by Priya L. • Maths tutor
9583 Views

A bag has 24 sweet of different colours: 10 red, 8 blue and 6 yellow. What is the probabilty of not getting a blue sweet ?

First the thing you need to know before answering the question is, the probably of not getting something is [ 1 - the probabilty of getting something ], so the probabilty of getting a blue sweet is , the num...
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Answered by Faizul H. • Maths tutor
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