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Leahma327
14.07.2019 •
Mathematics
(05.02) a system of equations is shown below: 5x + 2y = 3 (equation 1) 2x − 3y = 1 (equation 2) a student wants to prove that if equation 2 is kept unchanged and equation 1 is replaced with the sum of equation 1 and a multiple of equation 2, the solution to the new system of equations is the same as the solution to the original system of equations. if equation 2 is multiplied by 1, which of the following steps should the student use for the proof? (4 points) select one: a. show that the solution to the system of equations 7x − y = 4 and 2x − 3y = 1 is the same as the solution to the given system of equations b. show that the solution to the system of equations 2x + 5y = 3 and 3x − 2y = 1 is the same as the solution to the given system of equations c. show that the solution to the system of equations 9x + 4y = 5 and 7x − y = 4 is the same as the solution to the given system of equations d. show that the solution to the system of equations −4x + 9y = 5 and 2x − 3y = 1 is the same as the solution to the given system of equations
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Ответ:
You are apparently being asked to identify the equations that result when
... 2x - 3y = 1
remains unchanged, and the first equation is replaced by
... (5x +2y) +(2x -3y) = (3) +(1).
The sum will be
... x(5+2) + y(2-3) = 3+1
... 7x - y = 4
So, the two equation in the system will now be
... 7x - y = 4
... 2x - 3y = 1
This description of the system corresponds to choice ...
... a. Show that the solution to the system of equations 7x - y = 4 and 2x - 3y = 1 is the same as the solution to the given system of equations.
Ответ: