SOLUTION: Can You please help me solve the following equations step by step? 13)The sum of two numbers is 248. Their difference is 64. Find the numbers. 14)Two cars leave town at the sam

Click here to see ALL problems on Systems-of-equations

Question 130349This question is from textbook Algebra 1
: Can You please help me solve the following equations step by step?
13)The sum of two numbers is 248. Their difference is 64. Find the numbers.
14)Two cars leave town at the same time traveling in opposite directions. One travels 51 mi/h and the other travels 45mi/h. In how many hours will they be 432 miles apart?

This question is from textbook Algebra 1

Answer by scott8148(6628) (Show Source):
You can put this solution on YOUR website!
13) let x and y equal the two numbers __ x+y=248 and x-y=64
__ adding the two equations __ 2x=312 __ x=156
__ substituting __ 156+y=248 __ subtracting 156 __ y=92

14) distance equals rate times time __ the two distances add __ let x=hours
__ x(51)+x(45)=432 __ 96x=432 __ dividing by 96 __ x=4.5