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How do I solve a simultaneous equation like this: 2x-5y=3, 3x+2y=14 ?

Solving a simultaneous equation finds the point(s) where two lines on a graph intercept. Therefore, one way of solving the equations is to plot the two lines onto the same graph and find the coordinates of t...
EG
Answered by Ellie G. • Maths tutor
10584 Views

Find the integral of tan^2x dx

You can not integrate tan 2 x but you can integrate sec 2 x Since sec 2 x = 1 + tan 2 x Then tan 2 x = sec 2 x-1 so the intragral of tan 2 x dx = the integral of (sec 2 x-1) dx = intrgral of sec 2 x dx + int...
NP
Answered by Nandini P. • Maths tutor
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How do i solve two linear simultaneous equations 2x+y=7 & 3x-y=8 ?

To start with, try and spot whether or not two of the coeffecients (numbers next to the letters) are the same for either question (i.e. could be a 3x in one equation and a 3x in the other). This also works i...
TB
Answered by Tom B. • Maths tutor
4674 Views

White paint costs £2.80 per litre. Blue Paint costs £3.50 per litre. White paint and blue paint are mixed in the ratio 3:2 Work out the cost of 18 litres of the mixture.

The mixture has a ratio of 3:2, white to blue paint. 3+2=5 so there are 5 parts to the mixture, 3 white and 2 blue. We know the cost of 1 litre of each, so first we can work out the cost of 1 litre of the mi...
HB
Answered by Henry B. • Maths tutor
8531 Views

Anouk, Beth and Carlin share £48 between them. Beth gets 3/8 of the money. Anouk and Carlin share the remaining money between them, by the ratio 3:2. How much money does Carlin get?

Beth gets: £48 x 3/8 = £18 The remaining money is: £48 - £18 = £30 ( Alternate method: £48 x 5/8 = £30. This eliminates the need for the first step) The ratio is 3:2 so this is the same as fractions of (3+2=...
RH
Answered by Rachel H. • Maths tutor
3838 Views