Respuesta :

Hi! Your answer is q = -9

Please see an explanation for a better and clear understanding to your problem.

Any questions about my answer and explanation can be asked through comments! :)

Step-by-step explanation:

Since we want to solve for q-term. That means we are going to isolate q-term.

[tex]\huge{3q+4+9=-14}[/tex]

We can add 4 and 9 together.

[tex]\huge{3q+13=-14}[/tex]

Because we want to know the value of q. That means we have to isolate q-term by subtracting both sides by 13.

[tex]\huge{3q+13-13=-14-13}\\\huge{3q=-27}[/tex]

We are reaching to the final step where we divide the whole equation by 3.

[tex]\huge{\frac{3q}{3}=-\frac{27}{3}}\\\huge{q=-9}[/tex]

Finally, the solution for this equation is q = -9. But what if you are not certain or sure about the answer? Let's check it out!

To check the answer, simply substitute q = -9 in the equation.

[tex]\huge{3q+4+9=-14}\\\huge{3(-9)+13=-14}\\\huge{-27+13=-14}\\\huge{-14=-14}[/tex]

Notice that the equation is true for q = -9. Hence, we can conclude that the solution for this equation is q = -9.

Hope this helps!

ACCESS MORE
EDU ACCESS
Universidad de Mexico