Solve Problems Using Systems of Linear Equations
-One number is 3 less than a second number. Twice the second number is 18 less than 5 times the first. Find the two numbers.
A) 8 and 11
B) 7 and 10
C) 9 and 12
D) $- 11$ and $- 8$

Question

Quizplus · Accepted Answer

Let the first number be $x$ and the second number be $y$. The first statement translates to $x = y - 3$. The second statement translates to $2y = 5x - 18$. Substituting $x = y - 3$ into the second equation gives $2y = 5(y - 3) - 18$, which simplifies to $2y = 5y - 15 - 18$, then to $3y = 33$, so $y = 11$. Substituting $y = 11$ into $x = y - 3$ gives $x = 8$. Therefore, the numbers are 8 and 11.

Solve Problems Using Systems of Linear Equations -One Number Is −11- 11−11

Solve Problems Using Systems of Linear Equations
-One Number Is $- 11$