Question 125797
Let x = the fist number and y = the second number.
1) y-x = 91 "The difference of the two numbers is 91"
2) y = 5x-5 "The second number is 5 less than 5 times the first"
Substitute the y from the second equation into the first and solve for x.
1a) (5x-5)-x = 91 Simplify.
5x-x-5 = 91
4x-5 = 91 Add 5 to both sides.
4x = 96 Divide both sides by 4.
x = 24 and...
y = 5(24)-5
y = 120-5
y = 115
Check:
y-x = 91
115-24 = 91
91 = 91 and...
115 = 5(24)-5
115 = 120-5
115 = 115