Understand a linear equation with infinite solutions

Understand a linear equation with infinite solutions

In this lesson you will learn that a linear equation has infinitely many solutions by transforming it into a simpler form.

ADDITIONAL MATERIALS

STANDARDS

CCSS.8.EE.C.7.a Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form 𝘹 = 𝘢, 𝘢 = 𝘢, or 𝘢 = 𝘣 results (where 𝘢 and 𝘣 are different numbers).

TEKS.8.8.C model and solve one-variable equations with variables on both sides of the equal sign that represent mathematical and real-world problems using rational number coefficients and constants; and

TEKS.A1.5.A solve linear equations in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides;

IN.8.AF.2 Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by transforming a given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers).

VA.PFA.8.17 The student will solve multistep linear equations in one variable with the variable on one or both sides of the equation, including practical problems that require the solution of a multistep linear equation in one variable.