Example27

# Example27 - Substitute for x and solve for y Check the...

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Example 1 Solve this system of equations by using elimination. Arrange both equations in standard form, placing like terms one above the other. Select a variable to eliminate, say y . The coefficients of y are 5 and –2. These both divide into 10. Arrange so that the coefficient of y is 10 in one equation and –10 in the other. To do this, multiply the top equation by 2 and the bottom equation by 5. Add the new equations, eliminating y . Solve for the remaining variable.

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Unformatted text preview: Substitute for x and solve for y . Check the solution in the original equation. These are both true statements. The solution is . If the elimination method produces a sentence that is always true, then the system is dependent, and either original equation is a solution. If the elimination method produces a sentence that is always false, then the system is inconsistent, and there is no solution....
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Example27 - Substitute for x and solve for y Check the...

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