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Make x the subject of the equation. 7xy+6 = 18x+3y+7

Put all the terms which contain x onto one side of the equation.-6 from both sides of the equation and -18x from both sides of the equation to get7xy-18x = 3y+7-6Simplify if possible7xy-18x = 3y+1Take the x ...
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Answered by Lucy M. • Maths tutor
3406 Views

Prove that the sum of four consecutive whole numbers will always be even.

First, check you understand what the question's asking by determining the key words. Next, try a couple of examples to convince yourself that the statement does in fact work, i.e 1+2+3+4=10, which is even. N...
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Answered by Emma B. • Maths tutor
28106 Views

Solve the simultaneous equations: x^2 + y^2 = 10 and x + 2y = 5

1.)x 2 + y 2 = 10 2.)x + 2y = 5. Rearrange 2nd equation: x = 5 - 2y. Substitute back into 1st equation: (5 - 2y) 2 + y 2 = 10. Multiply out brackets: 4y 2 - 20y + 25 + y 2 = 10. Rearrange equation: 5y 2 - 20...
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Answered by Edward W. • Maths tutor
10907 Views

What exactly is pi?

Pi is the ratio between a the circumference and the diameter of a circle. It's just a number which happens to describe this ratio for any circle you can think of. Let me explain, using the whiteboard...
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Answered by Harry B. • Maths tutor
3339 Views

Why does 1/x integrate to lnx?

If we let y = lnx, we then know that x = e y . By differentiating both sides of this equation with respect to y we get:dx/dy = e y , as the exponential function differentiates to itself when differentiated w...
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Answered by Chris L. • Maths tutor
28211 Views