7x+4y=−4
5x+8y=28
7x+4y=−4
?
Which of the following terms will make the systems equivalent?
(1 point)
Responses
−14x−8y=8
negative 14 x minus 8 y equals 8
12x+12y=24
12 x plus 12 y equals 24
−14x−8y=−8
negative 14 x minus 8 equals negative 8
−12x−12y=24
negative 12 x minus 12 y equals 24
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page 21 of 21
To make the systems equivalent, we need to find another equation that has the same solution as the given system.
Notice that the first equation can be obtained by multiplying both sides of the second equation by (-2).
Therefore, the equation that will make the systems equivalent is -14x - 8y = 8.