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Maths
GCSE

Solve the simultaneous equations 2a + b =4 and 5a – 3b = -1

When you solve normal equations like 4x-2=7, there is one equation and one unknown value. This case is no different: in order to solve these equations, you need to create one equation with one unknown. We...

MM
Answered by Molly M. Maths tutor
14097 Views

Sam and Jack share out £80 in the ratio 5:3, in that order. How much do they each get?

First, you add the 5+3 to get 8. Now you know there are 8 'portions' of the £80 needed to be shared out. So £80/8 is 10. Sam needs 5 portions so 5x10=50 and Jack needs 3 portions so 3x£10 is £30.

BP
Answered by Bradley P. Maths tutor
26335 Views

Simplify 2^11 x 8

This would be on a non-calculator paper and so it wants an answer in the form 2^n as without a calculator it is too difficult to work out. You can only do this multiplication if you change the 8 into 2^3 ...

SL
Answered by Samuel L. Maths tutor
4105 Views

N=2a+b, where a is a two-digit square number and b is a two-digit cube number. What is the smallest possible value of N?

Considering the smallest possible value of N will mean finding the smallest possible values of a and b to give the minimum N. As a must be a square number, let's consider the square numbers: 1 squared is ...

KH
Answered by Katherine H. Maths tutor
7704 Views

Solve the following simultaneous equations: 2a-5b=11, 3a+2b=7

Let 2a-5b=11 be Equation 1 and 3a+2b=7 be Equation 2. To find a and b, we first need to eliminate one of these variables from the equation. Firstly we can eliminate a from both equations to find b. To do ...

GC
Answered by Gemma C. Maths tutor
15590 Views

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