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Maths
GCSE

Given 2 points, how do you calculate the equation of a straight line?

Remember that the equation of a straight line function is: ax+c. a= change of y/ change of x
The steps to follow are:1- find the gradient of the slope2- replace the equation by values coming from any...

Answered by Zachary J. Maths tutor
2134 Views

Simplify the algebraic expression: (3x^2-7x-6)/(x^2-6x+9)

We start by noticing that both the numerator and denominator are expressions which can be factorised into brackets. Starting with the numerator, we multiply the coefficient of x^2 and the constant term to...

Answered by Emily G. Maths tutor
3360 Views

Solve the simultaneous equations: 3x − y = 23 2x + 3y = 8

Write the 2 equations above each other: 3x-y=23 2x+3y=8First we want to remove the y terms to be able to find out x, so multiply the top equation by 3 9x-3y=69 2x+3y=8Now that we have -3y on the top and -...

Answered by Jessica B. Maths tutor
5681 Views

n is an integer greater than 1. Prove algebraically that n^2 – 2 – (n – 2)^2 is always an even number.

1) Expand the brackets: (n-2)2 = (n-2)(n-2) = n2 - 2n - 2n +4 = n2 - 4n + 42) Substitute this into the original expression: n2...

Answered by James M. Maths tutor
4431 Views

Solve the simultaneous equations, x^2+y^2=41, and y=2x-3

STEP 1) First, substitute 2x-3 into the quadratic equation, replacing y, which works out as x2+(2x-3)2=41STEP 2) Now, expand the bracket, (2x-3)

Answered by Hannah N. Maths tutor
4791 Views

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