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Solve the simultaneous equations 5x+2y=11 and x-y=-2.

Simultaneous Equations are equations involving 2 or more unknowns that are to have the same value in each equation. The aim is to eliminate all except one unknown which will then allow us to find the value o...
PH
Answered by Peter H. • Maths tutor
10643 Views

A curve has equation y = 6ln(x) + x^2 -8x + 3. Find the exact values of the stationary points.

When thinking about stationary points, it is important to remember that these points happen when the gradient of the curve is 0 (-> dy/dx = 0), or if you prefer, when the rate of change of a graph is 0. S...
CP
Answered by Christopher P. • Maths tutor
7105 Views

Factorise z^3+1 into a linear and quadratic factor. Let y=(1+i√3)/2. Show that y is a cube root of -1. Show that y^2=y-1. Find the value of (1-y)^6.

To factorise z 3 +1 into a linear and quadratic factor, it is best to try the factor theorem first. We set the equation to zero: z 3 +1=0.We need to find a value of z such that the above is true. By inspecti...
HL
Answered by Henry L. • Maths tutor
24930 Views

Make y the subject of (y/x)+(2y/(x+4))=3

We want to make y the subject of the equation and so we need to write it in the form y=f(x) where f(x) is a function in terms of x.When rearranging equations with fractions for a certain subject, factorising...
HL
Answered by Henry L. • Maths tutor
16728 Views

Solve the simultaneous equations 4x + 7y = 1 and 3x +10y = 15.

There are two main ways of solving this equation, substitution and elimination, here we go through the susbtitution method. This involves rearranging one of the equations to get one of the variables in terms...
LC
Answered by Luke C. • Maths tutor
17460 Views