Answer:
Equation: 49 = 3x + 7
Answer: x = 14
Step-by-step explanation:
Let Kendra's daughter's age be denoted by the variable, x.
Set the equation. Note that:
Kendra is 49 years old.
Kendra is 3 times her daughter's age (x) plus 7 years.
Equation: 49 = 3x + 7
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
First, subtract 7 from both sides of the equation:
49 (-7) = 3x + 7 (-7)
49 - 7 = 3x
42 = 3x
Next, divide 3 from both sides of the equation:
(42)/3 = (3x)/3
x = 42/3
x = 14
14 is your answer.
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