### Home > INT2 > Chapter 10 > Lesson 10.2.1 > Problem10-56

10-56.

Algebraically determine the points of intersection of the graphs of the two equations below. Then make a complete graph on graph paper to verify your answer. Which solution method do you prefer for this system?

$\begin{array}{l} y = \frac{3}{4}x \\ x^2 + y^2 = 25 \end{array}$

Substitute the value of $y$ in the first equation for the $y$ in the second equation.

Remember to square both the coefficient and the variable.