Section 1
Equations with no solution
Property
If solving an equation with variables on both sides results in a false statement, such as or , then the equation has no solution.
In this Grade 8 lesson from Pengi Math Chapter 3, students learn to classify linear equations as conditional equations, identities, or inconsistencies by analyzing coefficients and constants. By simplifying equations into the forms x = a, a = a, or a = b, students determine whether a linear equation has one solution, no solution, or infinitely many solutions. This foundational skill prepares students to interpret results like 0 = 0 or 3 = 5 and understand what each outcome means algebraically.
Section 1
Equations with no solution
If solving an equation with variables on both sides results in a false statement, such as or , then the equation has no solution.
Section 2
Equations with Infinitely Many Solutions
An equation has infinitely many solutions when algebraic manipulation results in a true statement where both sides are identical, such as where is any real number.
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Section 1
Equations with no solution
If solving an equation with variables on both sides results in a false statement, such as or , then the equation has no solution.
Section 2
Equations with Infinitely Many Solutions
An equation has infinitely many solutions when algebraic manipulation results in a true statement where both sides are identical, such as where is any real number.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter