Linear Equation2

# Linear Equation2 - Select a variable to eliminate, say y ....

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Linear Equations: Solutions Using Elimination with Two Variables To solve systems using elimination, follow this procedure. •    Arrange both equations in standard form, placing like variables and constants one above  the other.   •    Choose a variable to eliminate, and with a proper choice of multiplication, arrange so that  the coefficients of that variable are opposites of one another.   •    Add the equations, leaving one equation with one variable.   •    Solve for the remaining variable.   •    Substitute the value found in Step 4 into any equation involving both variables and solve  for the other variable.   •    Check the solution in both original equations.   Example 1 Solve this system of equations by using elimination. Arrange both equations in standard form, placing like terms one above the other.

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Unformatted text preview: 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. 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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## 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 Equation2 - Select a variable to eliminate, say y ....

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