Question

3/2x - 15 = -12
Solving Equations Containing Fractions

Answer 1

x-=2

Answer 2

how

Answer 3

the latter

Answer 4

no that is wrong
is it
\[\frac{3}{2}x-15=-12\] like that?

Answer 5

add 15 to both sides as a first step
you get
\[\frac{3}{2}x=-12+15\] or
\[\frac{3}{2}x=3\]

Answer 6

then multiply both sides by the reciprocal of \(\frac{3}{2}\) which is \(\frac{2}{3}\)

Answer 7

you get
\[\frac{2}{3}\times \frac{3}{2}x=3\times \frac{2}{3}\] so
\[x=2\]

Answer 8

if you see a fraction in front of the \(x\), for example if you see
\[\frac{3}{4}x=12\] the you always multiply by the reciprocal to get \(x\) by itself
in my example if
\[\frac{3}{4}x=12\] then
\[x=12\times \frac{4}{3}=4\times 4=16\]

Answer 9

thank you; that was very helpful

Answer 10

thats what i figured but i wasn't sure