Answer:
x = 3
y = 5
Step-by-step explanation:
[tex]3^{5x-2y}=243[/tex]
[tex]3^{5x-2y}=3^5[/tex]
[tex]5x-2y = 5\ ...\ [1][/tex]
[tex]3^{2x-y}=3[/tex]
[tex]3^{2x-y}=3^1[/tex]
[tex]2x-y=1\ ...\ [2][/tex]
[1] & [2]
5x - 2y = 5 ⇔ 5x - 2y = 5
2x - y = 1 ⇔ 4x - 2y = 2
----------------- (-)
x = 3
[2]
2x - y = 1
2(3) - y = 1
y = 6 - 1
y = 5
