This is known as Kramer's Rule.
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eg: 3x + 7y = 12 12x - 11y = 2
x + y = x + y =
x: y:
explanation:
Kramer's rule for: ax + by = c dx + ey = f
the following can be applied: x = (c * e - b * f ) / (a * e - b * d) y = (a * f - e * d) / (a * e - b * d) This is known as Kramer's Rule.