someone please solve -2-10/3 my answer is not the same as the books?

- anonymous

someone please solve -2-10/3 my answer is not the same as the books?

- chestercat

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- anonymous

i think the answer is -12/3 = -4

- sandra

if this is (-2) - 10/3 , then the first thing you want to do is get everything with the same denominator

- sandra

so -2 *3/3 = 6/3

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- sandra

so the problem is really -6/3 - 10/3

- sandra

or -16/3

- sandra

does that make sense?

- anonymous

yes thats what i got then you have to divide by 4. so then multiply by the reciprocal and i got -16/12 which simplifies to -4/3 right?

- sandra

hmmm, what do you mean divide by 4?

- anonymous

well that was part of the equation. its x + 4z=-2 and x= 10/3

- sandra

oh I did not see that part. so you're solving for z

- anonymous

yeah i didnt include it in my question but yeah solving for z

- sandra

so right 4z = -16/3

- sandra

so to isolate z, you divide both sides by 4

- sandra

so z = -16/(3*4) = -16/12 = -4/3

- sandra

also, go ahead and plug it back in to the equation

- anonymous

thats exactly what i had but the book said 1/3

- sandra

since now you have both the x value, and the z value

- sandra

put them back in and make sure the equation holds true

- sandra

(even if you just use your calculator)

- anonymous

the book said -1/3

- anonymous

yeah ill try it

- sandra

if you put them back in, then 10/3 + 4*(-4/3) = - 2

- sandra

so 10/3 - 16/3 = -2

- sandra

-6/3 = -2

- sandra

-2 = -2

- sandra

so you were right, back of the book was wrong :p

- anonymous

lol okay good cause that was really irritating me i was sitting there thinking "how am i wrong?!" ahah

- sandra

haha yeah =) it's good you questioned it :)

- anonymous

thank you

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