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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 ...
VL
Answered by Vasant L. • Maths tutor
7629 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)
CR
Answered by Charul R. • Maths tutor
4077 Views

If 2 log(x + a) = log(16a^6), where a is a positive constant, find x in terms of a

Use the power rule on the right hand side of the equation to reduce the expression into simpler termsRemoves logs (several methods, I would personally halve and then cancel)Factorise to give x=a(4a 2 -1)
ML
Answered by Michael L. • Maths tutor
4942 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 ...
JS
Answered by Jake S. • Maths tutor
11412 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
3571 Views