The missing value in the solution of the equation -3x+7y=5x+2y is -8.
First, let's combine like terms by subtracting 2y from both sides of the equation:
-3x + 7y - 2y = 5x + 2y - 2y
-3x + 5y = 5x
Next, let's gather all the x terms on one side and all the y terms on the other side. We can do this by subtracting 5x from both sides:
-3x - 5x + 5y = 5x - 5x
-8x + 5y = 0
Now, we can solve for y by isolating the y term:
-8x + 5y = 0
5y = 8x
y = (8/5)x
To find the missing value in the solution of the equation (-5,_), we substitute x = -5 into the equation y = (8/5)x:
y = (8/5)(-5)
y = -8
Therefore, the missing value in the solution of the equation (-5, _) is -8.