Question

3 power x minus y is equals to 27 and 3 power x + Y = 243 the X is equals to​

Answer 1

Question:

${3}^{(x - y)} = 27 \: and \: {3}^{(x + y)} = 243$

To Find:

• Value of "x"

Solution:

$\implies {3}^{(x - y)} = 27$

$\implies{3}^{(x - y)} = {3}^{3}$

So,

$\implies(x-y) = 3........(1)$

$\implies y = x - 3$

And

$\implies{3}^{(x+y)} = 243$

$\implies{3}^{(x+y)} = {3}^{5}$

So,

$\implies x+y = 5.........(2)$

$\implies x + (x-3) = 5$

$\implies x + x - 3 = 5$

$\implies 2x - 3 = 5$

$\implies 2x = 5 + 3$

$\implies 2x = 8$

$\implies x = \frac{\cancel8}{\cancel2}$

$\huge\boxed{x = 4}$

Answer 2

Answer:

x=-31

Step-by-step explanation:

x-y=27---------eqn(1)

x-y=243-------eqn(2)

Make x the subject of eqn1

x=27-y

Substitute eqn1 into eqn2

27-y-y=243

-2y=243-27

-2y=216

-2y/-2=216/-2

y=-58

substitute y into eqn1

x-(-58)=27

x+58=27

x=27-58

x=-31