Explain how to solve the equation and then check the solution.
9 = q – 4
Sample Response: Use the inverse operation to isolate the variable. Undo the subtraction of 4 by adding 4 to both sides of the equation. –4 + 4 = 0, and 9 + 4 is 13. The solution is q = 13. Check the solution by substituting 13 for q in the original equation, and then simplify. 13 – 4 is 9 and 9 = 9 is a true statement, so 13 is the solution.

Answer:

Use the inverse operation to isolate the variable. Undo the subtraction of 4 by adding 4 to both sides of the equation. –4 + 4 = 0, and 9 + 4 is 13. The solution is q = 13. Check the solution by substituting 13 for q in the original equation, and then simplify. 13 – 4 is 9 and 9 = 9 is a true statement, so 13 is the solution.

Step-by-step explanation:

The solution of the Equation 9 = q – 4 is 13.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

9 = q – 4

We have to use the inverse operation as

Addition inverse Subtraction and vice versa.

Division inverse Multiplication and vice versa.

So, 9 = q – 4

Undo the subtraction of 4 by adding 4 to both sides of the equation.

9 + 4 = q- 4 +4

13 = q

Hence, the solution is 13.

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