Question

WILL FAN AND MEDAL
Please help!.!. been trying to work these out for 3 hours..
2/3*x+4=3/5*x-2 solve for x

3(h-4)=-1/2(24-6h solve for h

ax+bc=-c idek what this is.?.?

Answer 1

\[ \frac{2}{3} x + 4= \frac{3}{5}x -2 \]
one way is, as a first step, to
multiply both sides (and *all* terms on both sides) by 15
can you do that?

Answer 2

15 because its the LCD?right?

Answer 3

yes. this technique is called "clearing the denominator"
(the other way is to combine fractions)

Answer 4

ok so 10x+60=9x-30

Answer 5

yes, now add -9x to both sides
add -60 to both sides
simplify

Answer 6

10x-9x +60=9x-9x -30

on the right side 9x-9x is 0
on the left side 10 x's take away 9 x's leaves 1x
1x + 60 = 0-30
x + 60 = -30
now add -60 to both sides.

Answer 7

x=-90?

Answer 8

the other answers are 9: identity property
10: x=-c/a+b

Answer 9

for the last one
\[ ax+bc=-c \\
ax + bc - bc = -c - bc \\
ax = -c -bc \]
divide both sides by a
\[ x = \frac{-c-bc}{a} \]
we could factor out -c from the top, and write this as
\[ x = \frac{-c(1+b)}{a} \]
or in other ways, e.g.
\[ x = -(b+1) \cdot \frac{c}{a} \]