Solve Equations

Front

What does it mean when an equation has all real numbers as a solution?

Back

It means that any value of the variable satisfies the equation, indicating that the two sides of the equation are equivalent for all values.

Front

Solve: 2y − 3 = 2y − 3

Back

all real numbers

Front

What is the first step to solve the equation 7 + \frac{a}{3} = 5?

Back

Subtract 7 from both sides to isolate the term with 'a'.

Front

Solve: 7 + \frac{a}{3} = 5

Back

a = -6

Front

What is the process to isolate 'a' in the equation \frac{a}{-9} = 12?

Back

Multiply both sides by -9 to solve for 'a'.

Front

Solve: \frac{a}{-9} = 12

Back

a = -108

Front

What is the next step after simplifying the equation 3c + 5 = 23?

Back

Subtract 5 from both sides to isolate the term with 'c'.

Front

Solve: 3c + 5 = 23

Back

c = 6

Front

What does it mean when an equation has no solutions?

Back

It means that there are no values for the variable that can satisfy the equation.

Front

Solve: 6(y + 4) = 6y + 10

Back

no solutions