5^{x-1}+3^{y+1}=82,5^{x+1}+3^{y-1}=34

[fluid valley]

Someone help me with this

[limber swan]

(5^x)/5 + 3(3^y) = 82
5^x + 15(3^y) = 410 (1)
5(5^x) + (3^y)/3 = 34
15(5^x) + 3^y = 102 (2)
substitute a = 5^x and b = 5^y
a + 15b = 410
15a + b = 102
solve both equations for a and b, then from there you can get x and y

[fluid valley]

@limber swan can you give me each step in a way a grade 7 will understand please

[ruby storm]

have you studied simultaneous equations?

[limber swan]

which part you don't understand?

[fluid valley]

Na

Why 410

[ruby storm]

the entire equation was multiplied by 5