Answer :
The equation given in the question is
13 + (w/7) = - 18
(91 + w) / 7 = - 18
91 + w = - 126
w = - 126 - 91
= - 217
I hope that the procedure is clear enough for you to understand. I also hope that this is the answer that you were looking for and the answer has actually come to your desired help.
13 + (w/7) = - 18
(91 + w) / 7 = - 18
91 + w = - 126
w = - 126 - 91
= - 217
I hope that the procedure is clear enough for you to understand. I also hope that this is the answer that you were looking for and the answer has actually come to your desired help.
The solution of the equation [tex]13+\frac{w}{7}=-18[/tex] is [tex]\boxed{w=-217}[/tex].
Further explanation:
Given:
The equation is [tex]13+\frac{w}{7}=-18[/tex].
Calculation:
Method (1)
The given equation is as follows:
[tex]\boxed{13+\dfrac{w}{7}=-18}[/tex]
The above equation is a linear equation that has one degree.
The equation with one variable can be solved by moving all terms in to the one side and simplify the equation for the value of variable.
Subtract [tex]13[/tex] on both sides in the equation (1) to obtain the value of [tex]w[/tex] as follows,
[tex]\begin{aligned}13+\dfrac{w}{7}-13&=-18-13\\13-13+\dfrac{w}{7}&=-31\\ \dfrac{w}{7}&=-31\end{aligned}[/tex]
Now, multiply [tex]7[/tex] on both sides of the above equation as,
[tex]\begin{aligned}7\times \dfrac{w}{7}&=-31\times7\\w&=-217\end{aligned}[/tex]
Therefore, the value of [tex]w[/tex] is [tex]-217[/tex].
Method (2)
To obtain the solution of the equation (1), take least common multiple of the denominator of the left hand side of the equation as,
[tex]\begin{aligned}13+\dfrac{w}{7}&=-18\\ \dfrac{(13\times7)+w}{7}&=-18\\ \dfrac{91+w}{7}&=-18\end{aligned}[/tex]
Now, multiply by [tex]7[/tex] on both sides of the above equation to obtain the value of [tex]w[/tex] as follows,
[tex]\begin{aligned}7\times\left(\dfrac{91+w}{7}\right)&=7\times(-18)\\91+w&=-126\end{aligned}[/tex]
Subtract [tex]91[/tex] on both sides of the above equation as follows,
[tex]\begin{aligned}91+w-91&=-126-91\\w&=-217\end{aligned}[/tex]
Therefore, the value of [tex]w[/tex] is [tex]-217[/tex].
Thus, the solution of the equation [tex]13+\dfrac{w}{7}=-18[/tex] is [tex]\boxed{w=-217}[/tex].
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Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Linear equations
Keywords: Equation, 13+(w/7)=-18, variables, subtract, linear equations, one degree, multiply least common multiple, linear equation, mathematics.