Linear systems with fractions and decimals

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Learn it Clear fractions first: multiply each equation by the lowest common denominator. For decimals, multiply by 10 or 100. Then solve by substitution or elimination as usual.

Example: x/2 + y/3 = 4 and x − y = 3.

Multiply the first by 6: 3x + 2y = 24.
From x = y + 3: 3(y + 3) + 2y = 24 → y = 3, x = 6.
(6, 3).

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