SOLUTION: Using the ideas of additive and multiplicative inverse of rational numbers, how would I solve the following equations? A. -5x+13=-12 B. 1/3(x)-7=25 C. 3x-4=x-12 D. x+11/9=2/3

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Using the ideas of additive and multiplicative inverse of rational numbers, how would I solve the following equations? A. -5x+13=-12 B. 1/3(x)-7=25 C. 3x-4=x-12 D. x+11/9=2/3       Log On


   



Question 250278: Using the ideas of additive and multiplicative inverse of rational numbers, how would I solve the following equations?
A. -5x+13=-12
B. 1/3(x)-7=25
C. 3x-4=x-12
D. x+11/9=2/3
In the first one, I believe x=5. However I am unsure I figured this correctly.
Thanks for any help you can provide.
Stacy

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
Additive and multiplicative inverse is talking about removing terms from either side of the equation
for example in A. -5x+13=-12
we want to get rid of the 13
we use the additive inverse to add -13 to both sides
aditve inverse is sometimes called "the opposite"
resulting in -5x=-25
then we multiply by -1/5 also called the reciprocal or multiplicative inverse
and we get the same as dividing by -5
x=5
we do the same with the others
BTw the site rules prohibit asking for helping on similar problems.
all of your problems use the same techniques
add the opposite or multiply by the reciprocal
Asking for many similar answers makes us feel abused that you want us to do your homework for you and not learn from the example we provide.

hope this helped