Students can use the Spectrum Math Grade 8 Answer Key Chapter 3 Lesson 3.6 Understanding Linear Equation System as a quick guide to resolve any of their doubts.
Spectrum Math Grade 8 Chapter 3 Lesson 3.6 Understanding Linear Equation System Answers Key
A system of linear equations is a set of equations that have the same variables. Graphing the solutions of the equations results in a set of lines in the coordinate plane. If the lines intersect at a single point, that point represents the one ordered pair that satisfies the equation.
This represents a system because the lines intersect.
This is not a system because the lines do not intersect.
Tell if each graph represents a system of linear equations by writing yes or no.
Question 1.
a.
Answer: Yes
A system of linear equations is a set of equations that have the same variables. Graphing the solutions of the equations results in a set of lines in the coordinate plane. If the lines intersect at a single point, that point represents the one ordered pair that satisfies the equation.
This represents a system because the lines intersect.
b.
Answer: No
A system of linear equations is a set of equations that have the same variables. Graphing the solutions of the equations results in a set of lines in the coordinate plane. If the lines intersect at a single point, that point represents the one ordered pair that satisfies the equation.
This is not a system because the lines do not intersect.
Question 2.
a.
Answer: No
A system of linear equations is a set of equations that have the same variables. Graphing the solutions of the equations results in a set of lines in the coordinate plane. If the lines intersect at a single point, that point represents the one ordered pair that satisfies the equation.
This is not a system because the lines do not intersect.
b.
Answer: Yes
A system of linear equations is a set of equations that have the same variables. Graphing the solutions of the equations results in a set of lines in the coordinate plane. If the lines intersect at a single point, that point represents the one ordered pair that satisfies the equation.
This represents a system because the lines intersect.