work. Do not solve.
-5x + 9y = -12
-4x - 4y = -32
A) Substitution B) Addition
Answer: B
Write the word or phrase that best completes each statement or answers the question.
-The perimeter of a rectangle is six times the width. If the length were increased by 4 inches and the width were increased by 7 inches, then the perimeter would be 160 inches. What is the width?
A) 69 in.
B) 23 in.
C) 46 in.
D) 138 in.

Question

Quizplus · Accepted Answer

Let the width be x. Then the perimeter is 2(x + 6x) = 14x. If the length is increased by 4 and the width is increased by 7, then the new perimeter is 2(x + 4 + 6(x + 7)) = 2(7x + 46) = 14x + 92. Setting this equal to 160 and solving for x gives x = 23. Therefore, the width is 23 inches.

Work. Do Not Solve