Solving Systems of Linear Equations using Desmos

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What is a system of linear equations?

Back

A system of linear equations is a set of two or more linear equations with the same variables. The solution is the point(s) where the equations intersect.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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How can you graphically solve a system of linear equations?

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You can graphically solve a system of linear equations by plotting each equation on the same coordinate plane and identifying the point(s) where the lines intersect.

Tags

CCSS.8.EE.C.8B

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What does it mean for a point to be a solution to a system of equations?

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A point is a solution to a system of equations if it satisfies all equations in the system, meaning it makes all equations true when substituted.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the substitution method for solving systems of equations?

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The substitution method involves solving one equation for one variable and then substituting that expression into the other equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the elimination method for solving systems of equations?

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The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the remaining variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the significance of the intersection point in a system of linear equations?

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The intersection point represents the solution to the system, indicating the values of the variables that satisfy all equations.

Tags

CCSS.8.EE.C.8A

Front

How do you determine if a point is a solution to a system of equations?

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To determine if a point is a solution, substitute the x and y values of the point into each equation and check if both equations are satisfied.

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What does it mean if two lines are parallel in the context of a system of equations?

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If two lines are parallel, it means they have no points of intersection, indicating that the system has no solution.

Tags

CCSS.8.EE.C.8A

Front

What does it mean if two lines coincide in the context of a system of equations?

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If two lines coincide, they lie on top of each other, indicating that there are infinitely many solutions to the system.

Tags

CCSS.8.EE.C.8A

Front

What is the role of Desmos in solving systems of linear equations?

Back

Desmos is an online graphing calculator that allows users to graph equations and visually analyze the solutions to systems of linear equations.

Tags

CCSS.8.EE.C.8B