SOLUTION: One number is seven more than a second number. Five times the first is 11 less than 4 times the second. Find the numbers

Question 105185: One number is seven more than a second number. Five times the first is 11 less than 4 times the second. Find the numbers
Answer by cheesey(22) (Show Source): You can put this solution on YOUR website!
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!
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