Solve each system using the elimination method. [3x+2y=-7 4.6.2) [4x – 7 y=10 Multiplu fo

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 31P
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Solve each system using the elimination method.
3x +2y = -7
|4x – 7 y=10
4.6.2)
A. Multiply each equation by the correct factor to make the y-terms opposites. Then,
rewrite the system so there are no parentheses.
B. Now, add the equations from Step A vertically.
C. Solve the equation in one variable for that variable.
D. Substitute the result from the previous step into 3x +2y =-7 and simplify.
E. Write the solution for the system as an ordered pair.
F. Check the solution with the original equation not used in Step D.
Transcribed Image Text:Solve each system using the elimination method. 3x +2y = -7 |4x – 7 y=10 4.6.2) A. Multiply each equation by the correct factor to make the y-terms opposites. Then, rewrite the system so there are no parentheses. B. Now, add the equations from Step A vertically. C. Solve the equation in one variable for that variable. D. Substitute the result from the previous step into 3x +2y =-7 and simplify. E. Write the solution for the system as an ordered pair. F. Check the solution with the original equation not used in Step D.
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