algebra 2 practice solving systems algebraically form
n. Factoring resulting quadratic equations to find solutions. Example: \[ \begin{cases} x + y = 4 \\ x^2 + y^2 = 10 \end{cases} \] Solution: Express y in terms of x: \( y = 4 - x \). Substitute into the second equation: \[ x^2 + (4 - x)^2 = 10 \] Expand: \[