Solving a System of Equations by Substituting
Solving a System of Equations by Substituting
Explore how substituting one equation into another can be used to find the solution to a system of equations.
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
自由形式の質問1
How does the degree of the equations influence the number of possible solutions to a system?
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自由形式の質問2
The graph of the quadratic equation is a parabola, and the graph of the linear equation is a line. What do the solutions of the system represent graphically?
テキストと数式入力
自由形式の質問3
Why can you solve a system of equations by substituting one equation into another?
テキストと数式入力
自由形式の質問4
Dakota says that if a linear equation is written in terms of , then they can solve the system by substituting into the other equation for . Do you agree? Why or why not?
テキストと数式入力
自由形式の質問5
What values for would you find if you replaced the -values into the quadratic equation instead of the linear one?
テキストと数式入力
自由形式の質問6
Why do you think that in the examples shown, the -values were replaced into the linear equation, instead of the quadratic one?
テキストと数式入力