6. Systems of Equations

6.01 Picture puzzles - solving simultaneous equations intuitively

6.02 Graphing systems of equations

6.03 Solving systems of equations with the substitution method

6.04 Solving systems of equations with the elimination method

6.05 Solving systems of equations with a variety of methods

6.06 Applications of linear systems

United States of America NC

Grade 8

6.02 Graphing systems of equations

Interactive practice questions

The following graph displays a system of two equations.

Write down the solution to the system in the form $\left(x,y\right)$(x,y).

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The coordinate plane is marked from $-10$−10 to $10$10 on both $x$x- and $y$y-axes. Two lines are plotted on the plane and intersect at points ($6$6,$-3$−3).

Easy

< 1min

The following graph displays a system of two equations.

Easy

< 1min

Which of the following graphs shows a system of equations with no solution?

Easy

< 1min

The following graph displays a system of two equations.

Easy

< 1min

Outcomes

NC.8.EE.8

Analyze and solve a system of two linear equations in two variables in slope-intercept form. • Understand that solutions to a system of two linear equations correspond to the points of intersection of their graphs because the point of intersection satisfies both equations simultaneously. • Solve real-world and mathematical problems leading to systems of linear equations by graphing the equations. Solve simple cases by inspection.

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