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

x = 6 + y 2(6+y) + y = 18 12+2y+y = 18 3y = 18-12 3y=6 y = 6/3 = 2. So y = 2 if y = 2 then x is = ? x - y = 6 so, x-2 = 6 so x is 6+ 2 = 8 x = 8 and y = 2
OO
Answered by Olufunke O. Maths tutor
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Lottie has a bag of applies. She gives half of them to Fred. Fred eats two and then has four left. How many apples did Lottie have at the start?

General method 1. Write the information down in equation form defining unique symbols to represent the unknowns2. DOF analysis: Count the number of equations and unknowns? a. If #E = #U → unique solution b. ...
NG
Answered by Niraj G. Maths tutor
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Express 12.5% as a fraction.

To make a percentage into a fraction you divide it by 100. This means 12.5% is 12.5/100. However, when giving fractions as an answer it needs to be done in the simplest form. To do this you need to find the ...
TG
Answered by Thanu G. Maths tutor
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what is 49^(-3/2) simplified?

so the first step would be to deal with the minus in the indice, which gives you the reciprocal making it1/49^(3/2)you then approach the rest of the indice which is 3/2, the simplest way to do this is to squ...
CF
Answered by Cora F. Maths tutor
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Expand and simplify (3x-1)(2x+1)(5-x)

First you need to expand and simplify two of the brackets, say (3x-1)(2x+1). There's 2 elements in the first bracket and 2 elements in the second, so you should end up with 2 2=4 elements in the expansion be...
BC
Answered by Ben C. Maths tutor
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