Question

please show steps

Answer 1

\[\frac{ 2 }{ 3 } x - 13 = \frac{ 1 }{ 3 } (9+2x)\]

Answer 2

The first step is to multiply both sides by 3 to get rid of the fractions. Can you do that?

Answer 3

what both sides

Answer 4

@mathstudent55 !!!

Answer 5

Yes.

Answer 6

\(\dfrac{ 2 }{ 3 } x - 13 = \dfrac{ 1 }{ 3 } (9+2x) \)

\(\color{red}{3 \cdot} \left( \dfrac{ 2 }{ 3 } x - 13 \right) = \color{red}{3 \cdot} \dfrac{ 1 }{ 3 } (9+2x) \)

Answer 7

On the left side, the 3 must be distributed.
On the right side, the 3 and the 1/3 cancel out.

Answer 8

i really don't get this, could you show all the steps, i somehow understand better then... in the next question ill try and solve the entire thing ;)

Answer 9

@mathstudent55

Answer 10

We were here:

\( \color{red}{3 \cdot} \left( \dfrac{ 2 }{ 3 } x - 13 \right) = \color{red}{3 \cdot} \dfrac{ 1 }{ 3 } (9+2x) \)

Now we distribute the 3 on the left side, and the 3 and the 1/3 on the right side cancel out:

\( 3 \cdot \dfrac{ 2 }{ 3 } x - 3 \cdot 13 = 9+2x \)

\(2x - 39 = 9 + 2x\)

Now we subtract 2x from both sides.

-39 = 9

Since we end up with a false statement, that means there is no solution to this equation.

Answer 11

O.o okayy, ill try and do the next one ;/

Answer 12

\[x (x-3) = (x+2)^{2}\]

Answer 13

@mathstudent55 i think i have to get rid of the brackets but i don't know how to do that ;/

Answer 14

Multiply x by x and x by -3. That is called distributing the x.
On the right side, you need to square the binomial, x + 2, or multiply (x + 2)(x + 2). You can use FOIL for that,

Answer 15

Sorry, but gtg.