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Maths
GCSE

Solve the following two equations simultaneously: 3x + y = 10, x + y = 4

  1. Label the equations Equation 1: 3x + y = 10Equation 2: x + y = 42) Establish if the equations need to be subtracted or added together: 'Same sign is subtract and different sign is add' Therefore we ...
BA
Answered by Bethany A. Maths tutor
2590 Views

Sketching a quadratic

Firstly ensure equation is equal to 0, so all variables are on one side of the equation. Factorize the quadratic to find the x intercepts. Complete the square to find the minimum/maximum point of the curv...

AB
Answered by Abraham B. Maths tutor
2602 Views

Prove the square of an odd number is always 1 more than a multiple of 4

We will start by representing an odd number using algebra. Let n be a integer, i.e. 1,2,3,4,etc. then we can define an odd number as (2n)-1. This is because if a number is of the form 2n it must be even, ...

TD
Answered by Tutor285427 D. Maths tutor
32408 Views

Solve the simultaneous equations: 1) 6a+b=11 , 2) 5a-2b=19

To solve, first create a common factor for b by multiplying the 1st equation by 2 to get: 12a+2b=22.Now, add the two equations together to get: (12a+5a) + (2b-2b) = (22+19)which is 17a=41 , when simplifie...

JT
Answered by James T. Maths tutor
3542 Views

A cuboid with a volume of 912cm^3 has the dimensions 4 cm, (x + 2) cm and (x + 9) cm. Find an equation in terms of x and solve to find the dimension.

912 = 4(x+2)(x+9)228 = (x+2)(x+9)228 = x2 + 11x + 180 = x2 + 11x -210using the quadratic formula we obtain x = -10 or x = 21As dimensions must be positive; x must equal 21Hence; the ...

CR
Answered by Carys R. Maths tutor
5479 Views

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