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 13 , and the units digit is 1 more than the tens digit. Find the number.
A) 34
B) 23
C) 32
D) 43

Question

Quizplus · Accepted Answer

The system of equations derived from the problem is $x^2 + y^2 = 13$ and $y = x + 1$, where $x$ is the tens digit and $y$ is the units digit. Substituting $y = x + 1$ into the first equation gives $x^2 + (x+1)^2 = 13$. Solving this equation yields $x = 2$ and $y = 3$, making the number 23.

Use a Graphing Calculator to Solve the Nonlinear System