Solving the first equation:
180/(3x + 6x) = 10180/(9x) = 1020/x = 10x = 2
Plugging x = 2 into the second equation:
10(2) + 2(2) + 62 = 30220 + 4 + 62 = 30286 = 302
The second equation is not true, which means there was likely a mistake in solving the first equation. Let's reevaluate:
Plugging x = 2 back into the first equation:
180 / (3(2) + 6(2)) = 10180 / (6 + 12) = 10180 / 18 = 1010 = 10
Therefore, x = 2 is the correct solution for the first equation. Let's check it in the second equation:
There was a mistake in the arithmetic in the second equation. Let's correct it:
10(2) + 2(2) + 62 = 30220 + 4 + 62 = 30282 = 302
There was another calculation mistake in the second equation. Let's correct it:
The corrected equation is 86 = 302, which is incorrect. There seems to be a mistake in the second equation given.
Solving the first equation:
180/(3x + 6x) = 10
180/(9x) = 10
20/x = 10
x = 2
Plugging x = 2 into the second equation:
10(2) + 2(2) + 62 = 302
20 + 4 + 62 = 302
86 = 302
The second equation is not true, which means there was likely a mistake in solving the first equation. Let's reevaluate:
180/(3x + 6x) = 10
180/(9x) = 10
20/x = 10
x = 2
Plugging x = 2 back into the first equation:
180 / (3(2) + 6(2)) = 10
180 / (6 + 12) = 10
180 / 18 = 10
10 = 10
Therefore, x = 2 is the correct solution for the first equation. Let's check it in the second equation:
10(2) + 2(2) + 62 = 302
20 + 4 + 62 = 302
86 = 302
There was a mistake in the arithmetic in the second equation. Let's correct it:
10(2) + 2(2) + 62 = 302
20 + 4 + 62 = 302
82 = 302
There was another calculation mistake in the second equation. Let's correct it:
10(2) + 2(2) + 62 = 302
20 + 4 + 62 = 302
86 = 302
The corrected equation is 86 = 302, which is incorrect. There seems to be a mistake in the second equation given.