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Solve algebraically the simultaneous equations: x^2+y^2 = 25 and y-3x=13

To answer this question, we need to make y the subject of the second equation. We can do this through simple rearrangement: y-3x=13 so y=13+3x Now that we have y on its own, this means we can substitute for ...
JK
Answered by James K. • Maths tutor
8866 Views

Find the intercept between the two equations below?

y = 2x+5 y=x+1 First equate: 2x+5=x+1 Rearrage for x: 2x-x=1-5 Which gives: x=-4
HS
Answered by Harry S. • Maths tutor
3322 Views

How do you work out the surface area of a cylinder?

Okay so to work out the surface area of any 3D shape, you should look at the area of every surface on the shape individually. I would then draw a cylinder. First, we can work out the area of this circle ( I ...
ON
Answered by Ollie N. • Maths tutor
4358 Views

Simplify fully {x^2 -3x -4}/{x^2 + 4x +3}

Factorise the top and bottom {x^2 -3x -4}/{x^2 + 4x +3}=(x+1)(x-4)/(x+1)(x+3) 2) Cancel the common terms Answer = (x-4)/(x+3)
JT
Answered by James T. • Maths tutor
4222 Views

An amount of money was invested for 8 years. It earned compound interest at 2.5% per year. After 8 years the total value of the investment was £11,696.67. Work out the total interest earned.

I would make sure the student new the difference between simple and compound interest to begin with. I would then explain the formula for compound interest and how it works normally. The formula is p(1+m)^n ...
LJ
Answered by Laura J. • Maths tutor
9919 Views