Which of the systems of equations below could not be used to solve the following system for x and y? 6x + 4y = 24 -2x + 4y = -10 A 6x + 4y = 24 2x - 4y = 10 B 6x + 4y = 24 -4x + 8y = -20 C 18x + 12y = 72 -6x + 12y = -30 D 12x + 8y = 48 -4x + 8y = -10

Which of the systems of equations below could not be used to solve the following system for x and y? 6x + 4y = 24 -2x + 4y = -10 A 6x + 4y = 24 2x - 4y = 10 B 6x + 4y = 24 -4x + 8y = -20 C 18x + 12y = 72 -6x + 12y = -30 D 12x + 8y = 48 -4x + 8y = -10

Question
Algebra foundations
asked 2020-12-02
Which of the systems of equations below could not be used to solve the following system for x and y? \(\displaystyle{6}{x}+{4}{y}={24}\)
\(\displaystyle-{2}{x}+{4}{y}=-{10}\)
\(\displaystyle{A}{6}{x}+{4}{y}={24}\)
\(\displaystyle{2}{x}-{4}{y}={10}\)
\(\displaystyle{B}{6}{x}+{4}{y}={24}\)
\(\displaystyle-{4}{x}+{8}{y}=-{20}\)
\(\displaystyle{C}{18}{x}+{12}{y}={72}\)
\(\displaystyle-{6}{x}+{12}{y}=-{30}\)
\(\displaystyle{D}{12}{x}+{8}{y}={48}\)
\(\displaystyle-{4}{x}+{8}{y}=-{10}\)

Answers (1)

2020-12-03
Choice A can be obtained from the given system by multiplying the second equation by —1 so it is equivalent to the given system so it can be used to solve for x and y.
Choice B can be obtained from the given system by multiplying the second equation by 2 so it is equivalent to the given system so it can be used to solve for x and y.
Choice C can be obtained from the given system by multiplying both the frst equation the second equation hy 3 so it is equivalent to the given system so it can be used to solve for x and y.
Choice D cannot be obtained from the given system since only the left side of the seconds equation was multiplied by 2.
So, the correct answer is choice D.
0

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