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Notice that the inequality may be rearranged to give the quadratic x^2 + 8x - 9 < 0.Factorise the quadratic to give (x-1)(x+9) < 0.Treating the expression as an equality, recall that if the product ...

This question can represented in algebraic form:
ABC Taxis = 0.8x + 5XYZ Taxis = 1.2x + 3
Noting that the units must be consistent throughout the question, so we have changed the pence into mile...

Understanding we can split it into numerator and denominator and find individually.Understanding that ^1/3 is same as cube root and why, by considering that ^2 is squaring27^2/3 = 3^2 = 98^2/3 = 2^2 = 4 =...

3x + 2y = 14 -> 15x - y = 6 -> 2Answer: x = 2 and y =4Solution:multiply both sides of equation 2 by 2: 10x - 2y = 12add this to equation 1: 3x + 10x + 2y -2y = 14 +12simplify: 13x = 26divide by 13: ...

equation 1) x - 2y = 1equation 2) x² + y² = 13
Rearrange equation 1 to: x = 1+2ysubstitute into equation 2: (1+2y)² + y²=13expand first bracket: (1+2y)(1+2...