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

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Question
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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