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Maths
GCSE

Solve the linear simultaneous equations: 3x + 5y = 45, 2x - 9y = -7

x = 10, y = 3. From the second equation, we have x = (9y - 7)/2. Substituting this expression for x into the first equation gives 3(9y - 7)/2 + 5y = 45. 3(9y - 7) + 10y = 90. 27y - 21 + 10y = 90. 37y = 11...

CW
Answered by Cameron W. Maths tutor
3450 Views

The mean of 4 numbers is 8 when a 5th number is added the mean becomes 10, what is the 5th number?

Ok, so firstly let's think about what the mean means? Add all the numbers together and then divide by the total number of values we have.So, that means with the 4 numbers we currently have the total divid...

CO
Answered by Carmen O. Maths tutor
7370 Views

A,B,C and D are points on a circle. ABCD is a square of side 7 cm. Work out the total area of the shaded regions. Give your answer correct to the nearest whole number.

To work out the shaded area, we first need to calculate the area of the square and the area of the circle. The shaded area is equal to the area of the circle minus the area of the square.
The area of...

AS
Answered by Avnish S. Maths tutor
15843 Views

Factorise: y = x^2 + 5x + 6

With quadratic equations, there are two ways in which to answer
Firstly (and most simply), look for two numbers that multiply to make c and add up to make b in the equation y = ax2 + bx +...

AN
Answered by Adnan N. Maths tutor
4922 Views

How do you expand brackets?

Let's have a look at a pair of brackets: (a+b)(c+d)To expand these brackets each value in one bracket must be multiplied by all values in the other bracket separately then added together. So we have: ac+a...

PB
Answered by Phoebe B. Maths tutor
3381 Views

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