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Solve the simultaneous equations: 2x + 3y = 5 and 3x + 4y = 12

2x + 3y = 52. 3x + 4y = 12 Firstly, you want to have the same amount of x variables, or y variables. To get the same x, we multiply 1. by 3, and multiply 2. by 2, giving us: 3. 6x + 9y = 154. 6x + 8y = 24 No...
QO
Answered by Quincy O. • Maths tutor
7131 Views

How do I make x the subject of the formula?

5x+11=(y+2)/2 Best way to think about this is like its a normal equation where you're trying to find the value of x, just break it down into simple steps. The best thing to do first is to get rid of any frac...
IO
Answered by Isabelle O. • Maths tutor
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Where does integration by parts come from?

The best way to do well in maths, is to learn where things come from. Mastering the basics makes everything else much easier! To start, consider the product rule with two functions u(x) and v(x) (using dashe...
TM
Answered by Tom M. • Maths tutor
3670 Views

The first floor of an ancient japanese tower has 150 steps. Each floor above has 5 fewer floors than the previous. So, the second floor has 145 steps, the third 140 etc. How many floors does the tower have if the final floor has 30 steps leading to it.

Note this is an arithmetic series problem, so we use the equation: x n = a + d(n-1). Number of steps on the first floor is 'a', i.e. a = 150. Difference in the number of steps on each subsequent floor is -5 ...
JF
Answered by Joel F. • Maths tutor
3554 Views

Integrate (12x^5 - 8x^3 + 3)dx giving the terms of the answer in the simplest terms

Integration is essentially differentiation in reverse! So in the simpler cases instead of multiplying by the power of x and subtracting one from the power of x, you add one to the power of x and divide by th...
ES
Answered by Ellen S. • Maths tutor
7032 Views