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 20 , and the tens digit is 2 more than the units digit. Find the number.
A) 42
B) 35
C) 53
D) 24

Question

Quizplus · Accepted Answer

The system of equations derived from the problem is $x^2 + y^2 = 20$ and $x = y + 2$, where $x$ is the tens digit and $y$ is the units digit. Solving this system, we find that the only two-digit number that fits these conditions is 42, where the tens digit (4) is 2 more than the units digit (2), and the sum of the squares of the digits (16 + 4) equals 20.

Use a Graphing Calculator to Solve the Nonlinear System