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.
Open-ended question 1
How does the degree of the equations influence the number of possible solutions to a system?
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Open-ended question 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?
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Open-ended question 3
Why can you solve a system of equations by substituting one equation into another?
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Open-ended question 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?
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Open-ended question 5
What values for would you find if you replaced the -values into the quadratic equation instead of the linear one?
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Open-ended question 6
Why do you think that in the examples shown, the -values were replaced into the linear equation, instead of the quadratic one?
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Prerequisite Resources
More from Solving Nonlinear Systems of Equations and Inequalities
