Question

Use the table to answer the question.System A System B7x+4y=−45x+8y=287x+4y=−4?Which of the following terms will make the systems equivalent?(1 point)Responses−12x−12y=24negative 12 x minus 12 y equals 24−14x−8y=8negative 14 x minus 8 y equals 8−14x−8y=−8negative 14 x minus 8 equals negative 812x+12y=2412 x plus 12 y equals 24

Answer 1

[AI-generated answer — Bot GPT 3.5]

To make the systems equivalent, we need to find a term that, when added to or subtracted from one of the equations in System A, will result in one of the equations in System B.

Looking at the table, we can see that the first equation in System A, 7x + 4y = -4, is almost the same as the second equation in System B, -14x - 8y = -8. The only difference is the constant term on the right side.

To make the two equations equivalent, we need to add 4 to both sides of the equation in System A. The equation -14x - 8y = -8 will then become -14x - 8y + 4 = -4, which is equivalent to the first equation in System A.

Therefore, the term that will make the systems equivalent is -14x - 8y + 4 = -4.