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Maths
GCSE

2x + y = 10 and 4y - 5x = 1, solve for x and y.

Rearrange one of the linear equations in order to have x or y written as an equation of the other. I.E 1) y =10 - 2x.Then substitute this value into the other equation: 4(10 - 2x) - 5x = 1, hence 39 = 13x...

NT
Answered by Nathan T. Maths tutor
3963 Views

Solve the simultaneous equations: 2x + y = 18, x - y =6.

There are 2 different ways to approach solving simultaneous equations: 1) making x or y the subject of one of the equations.2) addition or subtraction method.In this section, I will explain the first meth...

JG
Answered by Jamini G. Maths tutor
15457 Views

Express 112 as a product of it's prime factors.

The easiest way to approach this problem is using a break down tree from the number at the top of the page. Firstly, you can divide 112 by 2 to get 56. Circle the number 2 as this is prime and can no long...

AB
Answered by AIDAN B. Maths tutor
10032 Views

What is the Highest Common Factor of 8 and 24

You would first want to draw out a tree diagram (example given by whiteboard) and divide the number given e.g. 8 in the question by prime numbers e.g. 8 can be split into two branches 2 and 4. 2 is a prim...

FR
Answered by Faisal R. Maths tutor
3283 Views

Bob earns £7.70 an hour, and he works 30 hours per week. If Bob has 28 days of unpaid holidays to take, how much does he earn in a year? Also will he be taxed? (Bob will be taxed if he earns over £10000 in one year)

28 days holidays is equivalent to 4 weeks holiday. So in total works for 48 weeks. Now Bob works 30 hours per week, multiply this by 48 giving 1440 hours for his working year. So in order to solve for his...

CY
Answered by Christopher Y. Maths tutor
2855 Views

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