Example Question - determining constant value

Equation Solving: Determining Constant Value

To solve the question, we will add the two equations together: The first equation is: -2x + 4y = 15 The second equation is: -12x - 4y = -8 Adding the left hand sides of the equations: (-2x + 4y) + (-12x - 4y) (-2x - 12x) + (4y - 4y) -14x + 0 And adding the right hand sides of the equations: 15 + (-8) 7 So after adding the two equations together we have: -14x + 0 = 7 The 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