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Solving 2 linear equations using Cramer's rule. | ||||
3x - 7y = 5 | ||||
5x + 3y = 11 | ||||
3 * 3 - ( - 7) * 5 | = 44.0 | [DetA] | ||
5 * 3 - ( - 7) * 11 | = 92.0 | [DetAx] | ||
3 * 11 - 5 * 5 | = 8.0 | [DetAy] | ||
x: | ||||
[DetAx] / [DetA] | = 2.09090909091 … | [x] | ||
y: | ||||
[DetAy] / [DetA] | = 0.181818181818 … | [y] | ||
verification: | ||||
3 * [x] - 7 * [y] | = 5.0 | [6] | ||
5 * [x] + 3 * [y] | = 11.0 | [7] | ||
ok | ||||