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A easy way to solve simultaneous equations is to substitiute one equation into another and then equate to find one of the unknowns. Once this has been found its a simple matter of substituting it back int...

The ratio 4:5:7 is a way of comparing the size of the shares received by Frank, Mary and Seth. It helps to pretend that we are sharing the sweets between some equally-sized boxes: each box has the same nu...

In order to solve the pair of simultaneous equations, we must find a single set of values for x and y which fulfils both at once. By substituting “x=2-y” into “x²+y²=4”, we obtain a ...