X-2*a=30 2*z+y=30 6*z=30 2*y-a=30 f+3*z=30

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вопрос

To solve this system of equations:

1) x - 2a = 30
2) 2z + y = 30
3) 6z = 30
4) 2y - a = 30
5) f + 3z = 30

We will first solve equations 2, 3 and 5 to find the values of y, z, and f:

From equation 3:
6z = 30
z = 30/6
z = 5

Substitute z = 5 into equation 2:
2(5) + y = 30
10 + y = 30
y = 30 - 10
y = 20

Substitute z = 5 into equation 5:
f + 3(5) = 30
f + 15 = 30
f = 30 - 15
f = 15

Now that we have found the values of y, z, and f, let's substitute them back into equations 1 and 4 to solve for x and a:

From equation 1:
x - 2a = 30
x - 2a = 30
x - 2(15) = 30
x - 30 = 30
x = 30 + 30
x = 60

From equation 4:
2y - a = 30
2(20) - a = 30
40 - a = 30
-a = 30 - 40
-a = -10
a = 10

Therefore, the solution to the system of equations is:
x = 60
y = 20
z = 5
f = 15
a = 10