Use a graphing calculator to solve the nonlinear system. Give x- and y-coordinates to the nearest hundredth.
-The sum of the squares of the digits of a positive two-digit number is 85 , and the tens digit is 1 less than the units digit. Find the number.
A) 76
B) 65
C) 67
D) 56

Question

Quizplus · Accepted Answer

The system of equations derived from the problem is $x^2 + y^2 = 85$ and $x = y - 1$, where $x$ and $y$ represent the tens and units digits, respectively. Substituting $x = y - 1$ into the first equation and solving for $y$, we find that $y = 7$ and $x = 6$, making the number 67.

Use a Graphing Calculator to Solve the Nonlinear System