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Maths
GCSE

Solve this simultaneous equation: 6x+2y = 26 and 8x + 3y = 32

If 6x + 2y = 26 then 26 - 6x = 2yy = 13 - 3xSo, using the substitution method.... into 8x + 3y = 328x + 3(13 - 3x) = 328x + 39 - 9x = 32-x + 39 = 3232 + x = 39x = 39 - 32 = 7Sub x = 7 into 6x + 2y = 266(7...

Answered by Samuel W. Maths tutor
3013 Views

If x^2-5x+6=0, solve for x.

Since x^2-5x+6=0 is a quadratic we need to factorize before solvingAll quadratics fall under this formula ax^2+bx+c=0 so in this case a=1, b=-5 and c=6Drawing the very common ac b table we get: ac|b ...

Answered by Matthew E. Maths tutor
2476 Views

The straight line joining the points (1, -2a),(a, 1) has a gradient of 5, find the value of a

m=y-y1/x-x15=1-(-2a)/a-15=1+2a/a-15(a-1)=1+2a5a-5=1+2a3a=6a=2

Answered by Theo B. Maths tutor
3066 Views

How to find the turning point on a curve?

The equation of the curve will be a quadratic i.e. it follows the form y=ax2+bx+cTo find the turning point, the quadratic will need to be solved using the completing the square method. This me...

Answered by Muhammad V. Maths tutor
2833 Views

Prove that the difference between the squares of any two consecutive integers is equal to the sum of these two integers.

A problem of this nature seems complex at first until you break it down and see what it is really asking you to find. We can represent two consecutive integers as x and x + 1. The problem asks us to prove...

Answered by Maths tutor
12811 Views

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