Use the elimination method to solve the following system of equations. { 5x + 2y = 3 x-4y = 5

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.7: Puzzle Problems
Problem 33P
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Use the elimination method to solve the following system of equations.
5x + 2y = 3
x-4y = 5
What
the first step to solve the given system of equations using the elimination method?
A. Solve one of the equations for one of its variables. Then substitute the expression for the variable found into the other equation.
B. Solve one of the equations for one of its variables. Then substitute the expression for the variable found into the same equation.
C. If necessary, multiply one or both equations by some nonzero number so that the coefficient of one variable in one equation is the opposite of the coefficient of that variable in the other equation.
D. If necessary, rewrite the equations
standard form. Then add the two equations together and solve the result for one of the two variables.
A. There is one solution. The solution of the system is
(Simplify your answer. Type an ordered pair.)
B. The solution set of the system is 10x + 2y = 6.
C. The solution set is ø.
Transcribed Image Text:Use the elimination method to solve the following system of equations. 5x + 2y = 3 x-4y = 5 What the first step to solve the given system of equations using the elimination method? A. Solve one of the equations for one of its variables. Then substitute the expression for the variable found into the other equation. B. Solve one of the equations for one of its variables. Then substitute the expression for the variable found into the same equation. C. If necessary, multiply one or both equations by some nonzero number so that the coefficient of one variable in one equation is the opposite of the coefficient of that variable in the other equation. D. If necessary, rewrite the equations standard form. Then add the two equations together and solve the result for one of the two variables. A. There is one solution. The solution of the system is (Simplify your answer. Type an ordered pair.) B. The solution set of the system is 10x + 2y = 6. C. The solution set is ø.
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