Final answer:
To find the missing y-value for the point (-5, ?) in the equation -3x + 7y = 5x + 2y, rearrange to isolate y, substitute x with -5, and solve, resulting in the point (-5, -8).
Step-by-step explanation:
The student is asking to complete the missing value in the solution to the equation -3x + 7y = 5x + 2y at the point (-5, ?). To find the missing y-value, we substitute x with -5 into the given equation and solve for y.
Firstly, rearrange the equation to isolate the y-terms:
7y - 2y = 5x + 3x
Combine like terms:
5y = 8x
Now substitute x with -5:
5y = 8(-5)
Multiply 8 by -5:
5y = -40
Finally, divide both sides by 5 to solve for y:
y = -40 / 5
y = -8
So, the complete solution to the equation at the point (-5, ?) is (-5, -8).