Math.8.EE.8a 8.EE.C.8.A Math.8.EE.8b 8.EE.C.8.B Math.8.EE.8c 8.EE.C.8.C

Common Core Standards Solve Systems of Linear Equations
Grade:	8th Grade
Standard:	Math.8.EE.8a or 8.EE.C.8.A
Description:	Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.
Standard:	Math.8.EE.8b or 8.EE.C.8.B
Description:	Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.
Standard:	Math.8.EE.8c or 8.EE.C.8.C
Description:	Solve real-world and mathematical problems leading to two linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair.

A system of linear equations can be solved
algebraically using substitution or elimination.

Substitution is a method for solving a system of equations where a variable is replaced by the expression it is equal to.

Elimination is a method for solving a system of equations where the equations, or multiples of the equations, are added or subtracted in order to eliminate one variable.

Common Core Standards

Solve Systems of Linear Equations

Math.8.EE.8a or 8.EE.C.8.A

Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.

Math.8.EE.8b or 8.EE.C.8.B

Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.

Math.8.EE.8c or 8.EE.C.8.C

Solve real-world and mathematical problems leading to two linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair.