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Solve the Simultaneous Equations -3X + 4Y=11 & X-2Y = -5 to find the values of X and Y

Simultaneous Equations are equations involving 2 or more unknowns that have the same value in each equation. The aim is to eliminate all but one unknown. This will then allow us to find the value of th...

Answered by Emehakon U. • Maths tutor

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A price is decreased by 27% The new price is £1138.80 Work out the original price.

This can be solved by making an equation for the old price.

Make the old price be equal to x.

To find the new price the old price must be multiplied by the percentage of the...

Answered by Oliver G. • Maths tutor

4419 Views

N = 2a + b. a is a 2 digit square number, b is a 2 digit cube number. What is the smallest possible value of N?

First, the smallest values of a and b must be found and then substituted into the equation for N.

To find a.

A square number is a number that is the result of multiplying an...

Answered by Oliver G. • Maths tutor

3422 Views

Work out the value of 125 to the power of -2/3.

We want to find 125^-2/3. To do this, we will need to use lots of power rules that we have learnt.

Firstly, when we put a power to another power, we multiply the two powers. For...

Answered by Joe R. • Maths tutor

36027 Views

At t seconds, the temp. of the water is θ°C. The rate of increase of the temp. of the water at any time t is modelled by the D.E. dθ/dt=λ(120-θ), θ<=100 where λ is a pos. const. Given θ=20 at t=0, solve this D.E. to show that θ=120-100e^(-λt)

When solving any differential equation, the first method to consider is the seperation of variables. This is the simplest method and, conveniently, it works in this case. To seperate variables:1. Put all ...

Answered by Edmond W. • Maths tutor

8685 Views