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Solve the simultaneous equations '2X+Y=7' and '3X-Y=8'

In order to solve this question we need to remove one variable, either X or Y. Let us remove X in this case. The coefficents of X are 2 and 3. Their lowest common multiplte is 6. We can therefore get both va...
AP
Answered by Arjan P. • Maths tutor
11198 Views

What is the simplest form of the fraction (8a^2+10ab)/(12a+15b)?

These kinds of questions often come up in GCSE papers and involve algebraic manipulation. The key to answering these questions is finding a common factor in the numerator and denominator that can be cancelle...
SK
Answered by Samradnyee K. • Maths tutor
8948 Views

Solve the following simultaneous equations to find the values of x and y: 3y - 7x = 15 & 2y = 4x + 12

Equation one: 3y - 7x = 15 - Double it and re arrange 3y - 7x = 15 goes to 3y = 7x + 15 goes to 6y = 14x + 30 we name this equation 3 Equation two: 2y = 4x +12 - Triple it. so..6y = 12x + 36 we name this equ...
IP
Answered by Imogen P. • Maths tutor
4846 Views

Write down the value of (125)^2/3

When you see a fraction as the power like this you want to try to simplify it to things that you can do (like power of 1/2 or 2). 125 is one of the key numbers to remember when preparing for your GCSEs becua...
AJ
Answered by Alice J. • Maths tutor
8820 Views

Solve the simultaneous equations (with a calculator)

x^2 + y^2 = 9 x + y = 2 1) Firstly look at the second equation which is the simplest and think how you can rearrange it to fit into the first equation: x + y = 2 can be rearranged to y = 2-x 2) y = 2-x can t...
EG
Answered by Emily G. • Maths tutor
18965 Views