Linear Equation1

Linear Equation1 - Example 1 Solve this system of equations...

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Linear Equations: Solutions Using Substitution with Two Variables To solve systems using substitution, follow this procedure:  •    Select one equation and solve it for one of its variables.   •    In the other equation, substitute for the variable just solved.   •    Solve the new equation.   •    Substitute the value found into any equation involving both variables and solve for the  other variable.   •    Check the solution in both original equations.   Usually, when using the substitution method, one equation and one of the variables leads to a quick  solution more readily than the other. That's illustrated by the selection of  x  and the second equation  in the following example. 
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Unformatted text preview: Example 1 Solve this system of equations by using substitution. Solve for x in the second equation. Substitute for x in the other equation. Solve this new equation. Substitute the value found for y into any equation involving both variables. Check the solution in both original equations. The solution is x = 1, y = 2. If the substitution method produces a sentence that is always true, such as 0 = 0, then the system is dependent, and either original equation is a solution. If the substitution method produces a sentence that is always false, such as 0 = 5, then the system is inconsistent, and there is no solution....
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This note was uploaded on 11/10/2011 for the course MATH 1310 taught by Professor Staff during the Fall '07 term at Texas State.

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Linear Equation1 - Example 1 Solve this system of equations...

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