{x = -6 , y = -2

Step-by-step explanation:

Solve the following system:

{2 x - 18 y = 24 | (equation 1)

9 y - 5 x = 12 | (equation 2)

Swap equation 1 with equation 2:

{-(5 x) + 9 y = 12 | (equation 1)

2 x - 18 y = 24 | (equation 2)

Add 2/5 × (equation 1) to equation 2:

{-(5 x) + 9 y = 12 | (equation 1)

0 x - (72 y)/5 = 144/5 | (equation 2)

Multiply equation 2 by 5/72:

{-(5 x) + 9 y = 12 | (equation 1)

0 x - y = 2 | (equation 2)

Multiply equation 2 by -1:

{-(5 x) + 9 y = 12 | (equation 1)

0 x+y = -2 | (equation 2)

Subtract 9 × (equation 2) from equation 1:

{-(5 x)+0 y = 30 | (equation 1)

0 x+y = -2 | (equation 2)

Divide equation 1 by -5:

{x+0 y = -6 | (equation 1)

0 x+y = -2 | (equation 2)

Collect results:

 {x = -6 , y = -2

hope it

step-by-step explanation:

x^(1/6) · x^(1/6) · x^(1/6)   ·x^(1/6) = x^(4/6)   since we add the exponents

4/6 can be simplified to 2/3

the simplified form is x^(2/3)