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 OH

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).

Loading Graph...

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

8.EE.8

Analyze and solve pairs of simultaneous linear equations graphically..

8.EE.8a

Understand that the solution to a pair of linear equations in two variables corresponds to the point(s) of intersection of their graphs, because the point(s) of intersection satisfy both equations simultaneously.

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