Number Of Solutions to Equations

Front

What is the definition of a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one. It can be written in the form ax + b = 0, where a and b are constants.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution when there is no value of the variable that can satisfy the equation. This often occurs when two lines are parallel.

Front

What does it mean if an equation has infinitely many solutions?

Back

An equation has infinitely many solutions when any value of the variable satisfies the equation. This occurs when two lines are identical.

Front

What is the solution to the equation -2(x - 5) = 12 - 3x?

Back

x = 2

Front

What is the solution to the equation 3x - 1 = 1 - 3x?

Back

x = 1/3

Front

How many solutions does the equation 6x + 3 = 6x + 3 have?

Back

Infinite Solutions

Front

Identify the number of solutions for the equation -2x + 7 = -2x + 7.

Back

Infinite Solutions

Front

What is the solution to the equation x = x?

Back

Infinite Solutions

Front

What does it mean if an equation has one solution?

Back

An equation has one solution when there is exactly one value of the variable that satisfies the equation. This occurs when two lines intersect at a single point.

Front

What is the graphical representation of an equation with no solution?

Back

The graphical representation is two parallel lines that never intersect.