This system is called an inconsistent system Ex 3 Solve the system 123 123 x y

This system is called an inconsistent system ex 3

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This system is called an inconsistent system . Ex 3: Solve the system 12 3 12 3 x y y x . Addition Method: As with the substitution method, the goal of the addition method is to eliminate one of the variables. 1. Write both equations in general form ( ) Ax By C . 2. If necessary, multiply one or both of the equations by appropriate nonzero numbers so that the sum of the x- coefficients or the sum of the y- coefficients is 0. 3. Add the equations in step 2. The sum will be an equation in one variable. 4. Solve the equation. 5. Back-substitute the value you found in step 4 into either of the given equations and solve for the remaining variable. 6. Check. Write the solution as an ordered pair or give values of x and y . Ex 4: Solve each system. 4
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3 5 8 3 2 ) y x y x a 15 ) ( 5 9 3 3 ) y x y y x b 0 4 6 3 ) 2 ( 4 3 ) y x y x c Ex 5: Three times a first number decreased by 5 times a second number is 9 . The first number is one less than the second number. Find the numbers. 5
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Ex 6: For a linear function ( ) , (2) 1 and (5) 8 f x mx b f f  . Find the values of m and b . 6
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