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The Solution of an Equation

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A solution of an equation is a value of the variable that makes the equation true; solving means finding every such value.

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For 3x + 7 = 19, the value x = 4 checks: 12 + 7 = 19. No other number does.

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A solution is verified by substitution, never by trust in the steps.

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  • Nothing — this is a starting point.

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  • Nothing yet depends on this.