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GCSE

Solve algebraically the simultaneous equations: x^2 + y^2 = 25 and y – 3x = 13

(1) x2 + y2 = 25 (2) y - 3x = 13 To solve simultaneous equations algebraically we want to rearrange one of the equations to be able to substitute this in to the other equation. In th...

Answered by Maria O. Maths tutor
2675 Views

How do I solve simultaneous equations when one is quadratic? For example 3x^2 -2y = 19, 6x-y-14=0

The aim of this question is to find the two solutions which satisfy the quadratic equation. The approach to this can be broken down into a few principle steps: 1) Express y in terms of x. Here 6x-y-14=0 c...

Answered by Angus M. Maths tutor
2248 Views

Five numbers have a mean of 9.4 . Four of the numbers are 3, 5, 10 and 12. Work out the range of the five numbers. ( 4 marks )

9.4 =( 3 + 5 + 10 + 12 + x ) / 5=> 9.4 x 5 = 30 + x=> 47-30 = x=> 17 = x

Answered by Fotini P. Maths tutor
3177 Views

Solve this simultaneous equations, clearly showing all of your workings: x^2 + 2y =9, y - x = 3

Equation 1: x2 + 2y = 9Equation 2: y - x = 3
Rearrange equation 2: y = 3 + x
Substitute y = 3 + x into equation 1x2 + 2(3 + x) = 9x2 + 6 + 2x = 9x2 + ...

Answered by Ella-May J. Maths tutor
1971 Views

Solve 2y + 17 = 6y + 5

Subtract 2y from both sides:4y = 12Divide by 4:y = 3

Answered by Sam B. Maths tutor
2591 Views

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