Understanding
Students understand that the solution to a system of two linear equations is the intersection of the graphical representation of the two equations.
What to look for
Students make the connection between the \((x, y)\) pair that makes each equation true and the point of intersection of the two lines.
Sample Assessment
Joe solved this linear system correctly.\(6x+3y=6\)
\(y=2x+2\)
These are the last two steps of his work
\(6x-6x+6=6\)
\(6=6\)
Which statements about this linear system must be true?
a. \(x\) must equal 6
b. \(y\) must equal 6
c. There is no solution to this system
d. There are infinitely many solutions to this system
Answer: d
