Expand menu menu_open Minimize Start chapters Home History history History expand_more
{{ item.displayTitle }}
navigate_next
No history yet!
Progress & Statistics equalizer Progress expand_more
Student
navigate_next
Teacher
navigate_next
{{ filterOption.label }}
{{ item.displayTitle }}
{{ item.subject.displayTitle }}
arrow_forward
No results
{{ searchError }}
search
menu_open
{{ courseTrack.displayTitle }}
{{ statistics.percent }}% Sign in to view progress
{{ printedBook.courseTrack.name }} {{ printedBook.name }}
search Use offline Tools apps
Login account_circle menu_open

Solving Quadratic Systems

Solving Quadratic Systems 1.8 - Solution

arrow_back Return to Solving Quadratic Systems
We want to solve the given system of equations using the Substitution Method. Note that neither of the variables is isolated in either equation, so we will start by isolating in Equation (II). The variable is isolated in Equation (II). This allows us to substitute its value for in Equation (I).
Simplify
Notice that in Equation (I), we have found that We can substitute this result into Equation (II) and solve for
Simplify right-hand side
We found that It means that the only solution to our system, which is the only point of intersection of the two parabolas, is