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Solve the following simultaneous equations for x and y : 2x - y = 12; x + 3y = 20

When solving equations such as these we have two variables which represent two numbers. In order to solve them we want to isolate and remove one of the variables so we are only left with one, we do this b...

Answered by Alexander S. • Maths tutor

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How do you add fractions? And how do you multiply fractions?

Addition of fractions involve the finding of a common denominator. This would aid the addition.
The multiplication of fractions can be made much easier through finding if they can be made smaller thr...

Answered by Devina T. • Maths tutor

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In an office there are twice as many females as males. 1/4 of the females wear glasses. 3/8 of the males wear glasses. 84 people in the office wear glasses. Work out the number of people in the office.

office that is females with glasses=(2/3)(1/4)=1/6 office that is males wearing glasses=(1/3)(3/8)=1/8 (1/6)/(1/8) = 8/6=4/3 so there is a ratio of 4:3 women to men wearing glasses 84*(4/7)=12

Answered by William J. • Maths tutor

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Olly drove 56 km from A to B. He then drives 61 km from B to C. Olly’s average speed from A to B was 70 km/h. Olly took 75 minutes to drive from B to C. Work out Olly’s average speed for his total drive from A to C.

Key fact: Average speed = total distance/ total timeStep 1: find the time taken for Olly to travel from A to B. Using the formula: time taken = distance travelled / speed(56/70 = 0.8 hrs = 48 mins)Step 2:...

Answered by Sacha W. • Maths tutor

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Given the area of the pool is 63m^2, what is the value of x?

(There is a diagram showing a rectangle with one side labelled x+4 and another labelled x+6)Area = (x+4)(x+6)63m^2 = x²+10x+240 = x²+10x-390 = (x-3)(x+13)
x-3=0 so x=3x+13=0 giv...

Answered by Toby G. • Maths tutor

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