Question 105185
you must create a system of linear equations to represent each problem.  So, x + 7 =  y (one number - y is seven more than a second number -x).  Next, 5y = 4x -11.

Since the first equation is already solved for y, let's use it in the second equation.

5(x+7) = 4x - 11
5x + 35 = 4x -11 <=  combine like terms to get
5x - 4x = -11 - 35
x = -46... NOW

Use this value of x to solve for y in the first equation.  
x + 7 = y
-46 + 7 = -39 = y. 

Thus x = -46, y = -39.  So to check our results plug the values into 5y = 4x - 11.  
Thus 5(-39) = 4(-46) - 11 => -195 = -195.  Done!