Algebra SIMULTANEOUS EQUATIONSStep 4. Find the value of the other unknown by substituting the value of the firstunknown into one of the original equations.Step 5. Check the solution by substituting the values of the two unknowns into theother original equation.Example:Solve the following system of equations using addition or subtraction.5x + 6y = 123x + 5y = 3Solution:Step 1. Make the coefficients of y equal in both equations by multiplying the firstequation by 5 and the second equation by 6.5(5x + 6y = 12) yields 25x + 30y = 606(3x + 5y = 3) yields 18x + 30y = 18Step 2. Subtract the second equation from the first.25x30y60(18x30y18)7x042Step 3. Solve the resulting equation.7x= 427x= 427 7x= 6Rev. 0 Page 33 MA-02

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