$\bf 3^{n+2}-3^n=8\cdot 3^n\implies \boxed{3^n\cdot 3^2}-3^n=8\cdot 3^n
\\\\\\
\stackrel{common~factor}{3^n}(3^2-1)=8\cdot 3^n\implies 3^2-1=\cfrac{8\cdot \underline{3^n}}{\underline{3^n}}\implies 3^2-1=8
\\\\\\
9-1=8\implies 8=8$

6 0

3 years ago

3x − 15= 3x + 15<br> what is x?

Marina CMI [18]

We are given the following equation and want to find the possible values of x

$3x-15=3x+15$

Subtract both sides by 3x

$3x-15-3x=3x+15-3x$

$-15=15$

Now, we have this weird equation. Since -15 is NOT equal 15 and there is no other way we could have solved for x, there is no real solution to the given equation.

In other words, there is no value of x that makes the equation true.

Let me know if you need any clarifications, thanks!

~ Padoru

7 0

3 years ago

Solve the given system of equations.<br> - 3a = 36<br> 10a + 3c = 9<br> 2b + 50 = 23

Elodia [21]

Answer:

Solve using the substitution method! Answer down below:)

Step-by-step explanation:

(a,b,c) = ( -12, -27/2,43)

Hope it helps:)

5 0

3 years ago