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Solve the simultaneous equations: 6a + b = 16 and 5a - 2b = 19

Rearrange the first equation to give b as the subject. b = 16 - 6a Then substitute that equation for b into the second equation. 5a - 2(16 - 6a) = 19 Simplify this equation (remembering to take account of th...
FL
Answered by Francesca L. • Maths tutor
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Complete this substitution question: x^​3 - 25 = 103 - x^​3

Firstly, let's move the x^​3's onto the same side (and preferably keep them positive). Let's add x^​3 to both sides, which means the RHS will now read '2x^​3 - 25' and the LHS will read '103'. Next we want t...
AJ
Answered by Aoife J. • Maths tutor
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Explain the difference, in shape and bond angle, between a CO2 molecule and an SO2 molecule?

In a carbon dioxide molecule, the central carbon atom is surrounded by two areas of electron density. These are the bonds to the oxygen molecules. These areas of electron density are negatively charged and r...
JM
Answered by James M. • Chemistry tutor
29739 Views

Solve the following simultaneous equation for x and y: 2x + 5y = 8, 4x + y = 7

Equation A: 2x + 5y = 8 Equation B: 4x + y = 7 2A: 4x + 10y = 16 2A - B: 9y = 9, Therefore y = 1 Sub y back into equation A to find x: 2x + 5 = 8, 2x = 3, x = 1.5
ND
Answered by Nicholas D. • Maths tutor
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solve (2x+3)/(x-4) - (2x-8)/(2x+1) = 1 leave answer in fraction form

times both sides by both denominators = (2x+3)(2x+1) - (2x-8)(x-4) = (2x+1)(x-4) times out brackets = (4x 2 + 8x +3) - (2x 2 -16x +32) = 2x 2 -7x -4 simplify = 2x 2 +24x -29 = 2x 2 -7x -4 bring x's to one si...
AH
Answered by Amber H. • Maths tutor
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