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4x-y=3 and 3x-2y=1. Solve these simultaneous equations to find values for x and y.

Equation 1: 4x-y=3 Equation 2: 3x-2y=1

We have to find a common multiple between 4 and 3 so that both equations have the same first value. This means that we can get rid of the x by subtracting th...

Answered by Jami H. • Maths tutor

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Find the first derivative of the line equation y=x^3 + 4

dy/dx = 3x^2

Answered by Harry F. • Maths tutor

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Integrate x((x^2)+2) dx

The first step is to multiply out the brackets so the function is in a form that can be integrated. X x X² = X³ then X x 2 is simply 2X. So we are left with X³ + 2X. Both ...

Answered by Benjamin H. • Maths tutor

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There are 31 days in January. January 21st 2015 was a Wednesday. What day of the week was February 8th 2015?

First we need to know how many days are still remaining before the end of January. In this case it would be 10 since 31-21=10. We know that 8th of February is the 8th day of the month, so in total betwee...

Answered by Roman D. • Maths tutor

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Find the equation of the straight line joining points (-1, -4) and (2, 5)

Draw sketch of line 2. Find gradient using m=(y₂- y₁)/(x₂- x₁)= 5--4/2--1=9-3=3 3. Choose one of the points and call it (a,b). I'll pick (2,5) because t...

Answered by Ben M. • Maths tutor

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