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(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...

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...

To the contrary assume that sqrt(3) is a rational number. Thus we can write sqrt(3) = a/b where a and b are coprime integers and b is non-zero. (1 mark for this or equi...

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

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 + ...