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How to solve the simultaneous equations 3x+2y=7 and 5x+y=14

Firstly we rearrange one of these equations so that we have y on one side of the equation on its own. Let's do this with the second equation. So from 5x+y=14, we can minus 5x from both sides to get: y=14-5x ...
IB
Answered by Imogen B. • Maths tutor
9935 Views

How would you solve a quadratic equation by factorising?

Solve the equation : x 2 - 8x + 15 The first step is to factorise the quadratic equation. 1. You must find two numbers which will add to give -8 and multiply to give 15. The numbers that would do this are -5...
AG
Answered by Angelin G. • Maths tutor
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If (2/3)^n=〖(3/2)〗^2 what is the value of n

Reciprocal is when you interchange the numerator (the number on top in a fraction) with the denominator (the number at the bottom in a fraction). The numerator, is now the denominator and the denominator is ...
GW
Answered by Gift W. • Maths tutor
15973 Views

A quarter circle represents a piece of land. The length of the straight sides is 100 ft each. If the land is enclosed by a fence, what is closest to the length, in feet, of the fence?

Perimeter of a quarter circle = (2πr)/4 r = 100ft P = (2πr)/4 = (2×3.14×100)/4 = 157 Because we are calculating the length of the fence – as the fence goes around the land – for the two straight sides - the ...
GW
Answered by Gift W. • Maths tutor
7588 Views

Sarah’s collection contains dresses, skirts and blouses. If the ratio of dresses to skirts is 7 to 4 and the ratio of skirts to blouses is 7 to 2, what is the ratio of dresses to blouses?

Skirts are common in both ratios. Multiply both ratios by the factors such that skirts are represented by the same number Dresses: skirts = 7: 4 Skirts: blouses = 7: 2 Multiply the first by 7 and the second ...
GW
Answered by Gift W. • Maths tutor
8555 Views