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Solve simultaneously 2x+3y=8, 3x+2y=7 to calculate values of x and y.

First of all, we must multiply each equation by a suitable number in order to get the same leading coefficient. In simple terms, we must make the coefficient of the x or the y in both equations the same. So ...
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Answered by Vasant L. • Maths tutor
7518 Views

Make x the subject of the formula: 3(2x-y)=ax-4

Expand the brackets out first6x-3y=ax-4Now, get all the x's on one side6x-ax=3y-4and now factorise the side with the x's as we want to isolate xx(6-a)=3y-4and now divide both sides by (6-a)x=(3y-4)/(6-a)
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Answered by Charul R. • Maths tutor
3996 Views

A graph is given with a plot of y = sin(x) for 0 <= x <= 360. Which value of x in the range 90 <= x <= 180 satisfies sin(x) = sin(30)?

x = 150.This question requires that the student uses the symmetry of the sine graph. If we draw y = sin(30) on top of y = sin(x), it is clear that a possible value of x is 150. A harder question could use a ...
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Answered by Jake S. • Maths tutor
11262 Views

A right angled triangle has two smaller sides length 3 and 4, what is the length of its longest side?

As we are told it is a right angled triangle we known that we can use Pythagoras's formula of c 2 = a 2 +b 2 given that we have been given lengths of 3 and 4 we simply substitute these into the equation c 2 ...
BG
Answered by Benjamin G. • Maths tutor
3497 Views

Factorise and solve x^2 -4x -12=0

x 2 - 4x -12 is a quadratic equation with a general formula. It can be factorised by into brackets and solved.By looking at the equation, the last term is negative so one number in the factorised form must b...
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Answered by Mitchel M. • Maths tutor
9893 Views