Solving Linear Equations

Front

What is a linear equation?

Back

Front

How do you determine the number of solutions for a linear equation?

Back

Front

Solve for x: -6x = 48

Back

x = -8

Front

Back

x = \frac{25}{8}

Front

What is the value of x: 12x + 4 = 9x + 22?

Back

x = 6

Front

Solve for x: 5(x + 1) = 5x + 5

Back

Infinite solutions (any x satisfies the equation).

Front

What is the value of x: -9x + 3 = -7x - 15?

Back

x = 9

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there are no values of the variable that can satisfy the equation, often resulting in a contradiction.

Front

What does it mean if an equation has infinite solutions?

Back

An equation has infinite solutions if any value of the variable satisfies the equation, indicating that the two sides of the equation are equivalent.

Front

What is the first step in solving a linear equation?

Back

The first step is to isolate the variable on one side of the equation, often by using addition or subtraction.