Identify linear systems that have no solution by using a visual model

Identify linear systems that have no solution by using a visual model

In this lesson you will learn how to identify pairs of linear equations that have no solution by using a visual model.

ADDITIONAL MATERIALS

STANDARDS

CCSS.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.

TEKS.A1.5.C solve systems of two linear equations with two variables for mathematical and real-world problems.

IN.AII.SE.2 Solve systems of two or three linear equations in two or three variables algebraically and using technology.

IN.AI.SEI.2 Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination.

VA.EI.A.4.d systems of two linear equations in two variables algebraically and graphically; and