How do you solve this equation? -16= -3v + 5v

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eblount's profile pic

eblount | High School Teacher | (Level 1) Adjunct Educator

Posted on

First you combine any like terms on either side of the equation.  In this case, add -3v to 5v, which is 2v.  Then you must solve for v.  In order to do this you must isolate the variable (v).  You do this by performing the inverse operation, 2v means 2 multiplied by v, or 2 times v.  The opposite of multiplication is division so you divide 2 by v, 2/v.  Remember, what you do to one side of the equation you must do to the other side to keep it balanced.  So you divide -16 by 2, -16/2.  When you divide 2/v this cancels out the 2 and leaves the v by itself, you have isolated the variable.  When you divide -16/2 you get -8, so the answer is -8 = v.  I will write it in the equation form below:

    -16 = -3v + 5v

     -16 = 2v

 -16/2  = 2v/2

       -8 = v

       

lrwilliams's profile pic

lrwilliams | College Teacher | (Level 1) Educator

Posted on

In order to solve the equation -16 = -3v + 5v you first have to combine like terms. The only like terms are -3v and 5v. When we combine these two terms we now have 2v on the right side of the equation and our problem now looks like this

-16 = 2v

We now have to get rid of the variable, in this case the v. In order to do that we must divide 2v by 2, leaving us with v. If we divide one side of the equation by 2 we also have to divide the other side by 2, so -16 divided by 2 equals -8. 

The answer is -8

pohnpei397's profile pic

pohnpei397 | College Teacher | (Level 3) Distinguished Educator

Posted on

In this kind of equation, what you need to do is get one side to have just the variable (in this case v) and the other side needs to have just the number that is equal to the variable.

So, the first thing you need to do here is to simplify the right side.  When you add 5 to -3, you get 2.  So that gets you

-16 = 2v

Now you want to get from 2v down to just "v".  To do that, you need to divide both sides by 2.  That gets you

v = -8

And that's your answer.

taangerine's profile pic

taangerine | Student, Grade 12 | (Level 1) Valedictorian

Posted on

Combine like terms

-16=2v

Since it is multiplication, do the opposite operation. Divide both sides by 2 to isolate v.

-8=v  or v=-8

atyourservice's profile pic

atyourservice | Student, Grade 11 | (Level 3) Valedictorian

Posted on

-16= -3v + 5v

combine like terms aka add -3v and 5v together

-16 = 2v

now divide by 2

-16/2 = 2v/2

-8 = v

and that's the answer

jess1999's profile pic

jess1999 | Student, Grade 9 | (Level 1) Valedictorian

Posted on

-16 = -3v + 5v

To solve this equation, first combine the like terms ( which is -3v and 5v)

By collecting the like terms ( -3v and 5v ) your equation should look like

-16 = 2v      now divide 2 from both sides

After dividing 2 from both sides your equation should look like

-8 = v      which is your answer

Jyotsana's profile pic

Jyotsana | Student, Grade 10 | (Level 1) Valedictorian

Posted on

-3v+5v=-16  You have to combine like terms,you have to add both v

2v=-16    To let v by self, you have to divide both side by 2.

2v/2=-16/2

v=-8 

To check the answer you could just plug the answer to see if they equal or not and this equation does equal.

mongrels1's profile pic

mongrels1 | High School Teacher | eNotes Newbie

Posted on

How do you solve this equation?

-16= -3v + 5v

First, combine like terms

-16= 2v

You need the variable (v) alone, so divide both sides by its coefficient (2)

-16/2 = 2v/2

-8         = v

V = -8

You can then substitute  your answer into the original expression to verify that the left hand side = the right hand side.

LHS = RHS so our solution is correct

mdc14's profile pic

mdc14 | Middle School Teacher | eNotes Newbie

Posted on

Combine the v's to get 2v

Divide both sides by 2 so v=-8

plug -8 back into the orignal equation to check answer:

  -16= -3(-8) + 5 (-8)          -16=24 + -40       -16=-16

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