Question

I DON'T UNDERSTAND! Use a system of equations to solve a word problem.

A. The sum of two numbers is -2, and their difference is 4. Find the two numbers.
B. One number is 2 less than a second number. Twice the second number is 14 less than 5 times the first. Find the two numbers.
C. A flat rectangular piece of aluminum has a perimeter of 64 inches. The length is 8 inches longer than the width. Find the width. Select one: A) 20 in. B) 32 in. C) 28 in. D) 12 in.

Answer 1

A) 1 and -3

B) 8 and 6

C) D) 12 in.

Explanation:

A) 1 and -3

B) x-2 = first number

x = second number

2x=5(x-2)-14

2x=5x-10-14

2x=5x-24

2x+24=5x

24=5x-2x

24=3x

8=x

So the two numbers are 8 and 6

C) width=x

length=x+8

x+x+x+8+x+8=64

4x+16=64

4x=48

x=12