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Solve the simultaneous equations: 4x + y = 25, x - 3y = 16

We need to have either the same number of x's or the same number of y's in each equation so that we can add or subtract them to be left with just x or just y. We can do this by multiplying the second e...

Answered by Lydia H. • Maths tutor

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Prove that 0.565656.... can be expressed as 56/99.

1) Let x=0.565656...

2) Thus 100x=56.565656...

3) Subtracting equation 1) from 2) gives:

99x=56

4) Rearrange for x:

x=56/99, Also x...

Answered by Daanyaal C. • Maths tutor

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Solve the equation ((2x+3)/(x-4))-((2x-8)/(2x+1))=1

Step 1: Multiply everything by x-4 to give

(2x+3) - ((2x-8)(x-4)/2x+1)=(x-4)

Step2: Multiply everything by 2x+1 to give

(2x+3)(2x+1)-(2x-8)(x-4)=(x-4)(2x+1)

Answered by Matthew T. • Maths tutor

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How do you factorise a quadratic equation?

A quadratic expression is of the form ax²+bx+c. It is often useful to know what values of x will make the expression equal to 0; these are known as the roots of the equation. An easy way of...

Answered by Tim W. • Maths tutor

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