Решите систему уравнений способом{2(x+2y)-7y=6{5(2x+y)-x=2y+60

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вопрос

2(x+2y) - 7y = 6
2x + 4y - 7y = 6
2x - 3y = 6
y = (2x - 6) / 3

5(2x+y) - x = 2y + 60
10x + 5y - x = 2y + 60
9x + 3y = 60
3y = 60 - 9x
y = (60 - 9x) / 3
y = 20 - 3x

Now we can substitute the value of y from the first equation into the second equation:

(2x - 6) / 3 = 20 - 3x
2x - 6 = 60 - 9x
2x + 9x = 60 + 6
11x = 66
x = 66 / 11
x = 6

Now we can substitute the value of x back into the first equation to find y:

y = (2(6) - 6) / 3
y = (12 - 6) / 3
y = 6 / 3
y = 2

So, the solution to the system of equations is x = 6 and y = 2.