
Solve the following equation $ 34 - 5(p - 1) = 4 $
Answer
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Hint: In algebra, an equation can be defined as a mathematics statement consisting of an equal symbol between two algebraic expressions that have the same value, the most basic and common algebraic equations in math consist of one or more variables.
An equation says that two things are equal, it will be having an equals.
Sign $ = $ like this $ 7 + 2 = 10 - 1 $ that equation says what is on the left $ (7 + 2) $ is equal to what is on the right $ (10 - 1) $ so an equation is like a statement, this equals that.
Complete step-by-step answer:
An equation is a mathematical sentence that has two equal sides separated by an equal sign.
We know that,
According to the equation
$ 34 - 5(p - 1) = 4 $
Separating both side
$
\Rightarrow - 5(p - 1) = 4 - 34 \\
- 5(p - 1) = - 30 \;
$
Taking $ 5 $ in the side
$
\Rightarrow p - 1 = \dfrac{{30}}{5} \\
p - 1 = 6 \\
p = 6 + 1 \\
p = 7 \;
$
So, the correct answer is “ p = 7 ”.
Note: An identity equation is an equation that is always true for any value substituted into the variable. Identity equations are equations that are true no matter what value is plugged in for the variable. If you simplify an identity equation, you’ll always get a true statement. Each term involved in the linear equation is either a constant or single variable or a product of a constant.
An equation says that two things are equal, it will be having an equals.
Sign $ = $ like this $ 7 + 2 = 10 - 1 $ that equation says what is on the left $ (7 + 2) $ is equal to what is on the right $ (10 - 1) $ so an equation is like a statement, this equals that.
Complete step-by-step answer:
An equation is a mathematical sentence that has two equal sides separated by an equal sign.
We know that,
According to the equation
$ 34 - 5(p - 1) = 4 $
Separating both side
$
\Rightarrow - 5(p - 1) = 4 - 34 \\
- 5(p - 1) = - 30 \;
$
Taking $ 5 $ in the side
$
\Rightarrow p - 1 = \dfrac{{30}}{5} \\
p - 1 = 6 \\
p = 6 + 1 \\
p = 7 \;
$
So, the correct answer is “ p = 7 ”.
Note: An identity equation is an equation that is always true for any value substituted into the variable. Identity equations are equations that are true no matter what value is plugged in for the variable. If you simplify an identity equation, you’ll always get a true statement. Each term involved in the linear equation is either a constant or single variable or a product of a constant.
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