Question

Solve the equation? 13 +w/7 = –18 ...?

Answer 1

The solution of the equation $13+\frac{w}{7}=-18$ is $\boxed{w=-217}$.

Further explanation:

Given:

The equation is $13+\frac{w}{7}=-18$.

Calculation:

Method (1)

The given equation is as follows:

$\boxed{13+\dfrac{w}{7}=-18}$  

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 $13$ on both sides in the equation (1) to obtain the value of $w$ as follows,

$\begin{aligned}13+\dfrac{w}{7}-13&=-18-13\\13-13+\dfrac{w}{7}&=-31\\ \dfrac{w}{7}&=-31\end{aligned}$  

Now, multiply $7$ on both sides of the above equation as,

$\begin{aligned}7\times \dfrac{w}{7}&=-31\times7\\w&=-217\end{aligned}$

Therefore, the value of $w$ is $-217$.

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,

$\begin{aligned}13+\dfrac{w}{7}&=-18\\ \dfrac{(13\times7)+w}{7}&=-18\\ \dfrac{91+w}{7}&=-18\end{aligned}$  

Now, multiply by $7$ on both sides of the above equation to obtain the value of $w$ as follows,

$\begin{aligned}7\times\left(\dfrac{91+w}{7}\right)&=7\times(-18)\\91+w&=-126\end{aligned}$

Subtract $91$ on both sides of the above equation as follows,

$\begin{aligned}91+w-91&=-126-91\\w&=-217\end{aligned}$

Therefore, the value of $w$ is $-217$.

Thus,  the solution of the equation $13+\dfrac{w}{7}=-18$ is $\boxed{w=-217}$.

Learn more:

1. Learn more about equations brainly.com/question/1473992

2. A problem on line brainly.com/question/1575090

3. A problem on function brainly.com/question/1435353

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.

Answer 2

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.