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Maths
GCSE

Solve the simultaneous equations 3x+2y=8 and 3y+4x=11

Equal out the x terms so 12x+8y=32 and 9y+12x=33Then subtract the first equation from the secondThis gives y=1Put this value into one of the equations so 12x+8=32Solve the equation giving x as 2.

Answered by Emily P. Maths tutor
3960 Views

Rearrange the following to make 'm' the subject. 4(m - 2) = t(5m + 3)

The first step is to expand the brackets by multiplication. This can be done using the 'bird method'. This results in 4m – 8 = 5mt + 3tNow to collect all 'm' like terms of the equation on the LHS. This gi...

Answered by Taliesin C. Maths tutor
3657 Views

Find the value of x which satisfies the following equation 3x^2 +6x+3 = 0

Factorise the equation: (3x+3)(x+1) = 0. Anything multiplied by 0 is equal to 0 therefore (x+1)=0 and (3x+3) = 0. Solve for x: if x+1 =0 you need to subtract 1 from x to work out what x is (do the opposi...

Answered by Aiysha S. Maths tutor
2708 Views

Ayo is 7 years older than Hugo. Mel is twice as old as Ayo. The sum of their three ages is 77 Find the ratio of Hugo's age to Ayo's age to Mel's age.

  1. Hugo = x Ayo = x + 7 (as he is 7 years old than Hugo's age) Mel = 2 multiplied by (x +7) as she is twice as old as Ayo2) If their ages combined equals 77, you add up all the algebraic equations and...
Answered by Jeenali S. Maths tutor
4751 Views

Find dy/dx of y=x^2 + 2x+1

We differentiate each term individually with respect to x. the way we differentiate powers of x is: x^n goes to nx^(n-1). So x^2 would become 2x, 2x would be just 2 as x^0 is 1 and a constant would just d...

Answered by Vivek M. Maths tutor
3017 Views

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