Solve linear equations with variables on both sides

Front

What is a linear equation?

Back

Front

What does it mean to solve an equation with variables on both sides?

Back

It means to isolate the variable by performing operations to both sides of the equation until the variable is alone on one side.

Front

What is the first step in solving the equation 6(y - 2) = 6 + 9(y - 2)?

Back

Distribute the 6 on the left side and the 9 on the right side.

Front

What does 'no solution' mean in the context of linear equations?

Back

'No solution' means that there is no value for the variable that satisfies the equation.

Front

What does 'all real numbers' mean as a solution?

Back

'All real numbers' means that any value for the variable will satisfy the equation.

Front

How do you check if a solution to a linear equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 2(7r - 4) = 10r - 3?

Back

Front

What is the solution to the equation −5 + 5(n − 7) = −40 + 5n?

Back

All real numbers.

Front

What is the value of 'a' that makes 4(5a - 8) = 4(a + 6) true?

Back

3.5.

Front

What is the process of isolating a variable in an equation?

Back

The process involves using inverse operations to get the variable by itself on one side of the equation.