Question - Equation Solving: Determining Constant Value
Solution:
To solve the question, we will add the two equations together:The first equation is: -2x + 4y = 15The second equation is: -12x - 4y = -8Adding the left hand sides of the equations:(-2x + 4y) + (-12x - 4y)(-2x - 12x) + (4y - 4y)-14x + 0And adding the right hand sides of the equations:15 + (-8)7So after adding the two equations together we have:-14x + 0 = 7The question is asking for the value that belongs in the green box, which corresponds to the constant term on the right side of the equation after adding the equations together. Therefore, the value that belongs in the green box is 7.The correct answer:B. 7
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