Solve the problem.
-One number is 7 less than a second number. Twice the second number is 2 less than 4 times the first. Find the two numbers.
A)-15 and -8
B)8 and 15
C)7 and 14
D)9 and 16

Question

Quizplus · Accepted Answer

Let the first number be x and the second number be y. The problem gives us two equations: 1) x = y - 7, and 2) 2y = 4x - 2. Substituting the first equation into the second gives us 2y = 4(y - 7) - 2, which simplifies to 2y = 4y - 28 - 2, and further to 2y = 4y - 30. Solving for y gives us y = 15, and substituting back into the first equation gives us x = 8. Therefore, the numbers are 8 and 15.

Solve the Problem. -One Number Is 7 Less Than a Second Number. Twice