Решите уравнение:
а) 3y = 6 + 2y;
б) 6x = 4x + 10;
в) z = 6 − 5z;
г) 9 + y = 4y;
д) 3x − 16 = 7x;
е) 7z + 9 = 4z.
3y = 6 + 2y
3y − 2y = 6
y = 6
6x = 4x + 10
6x − 4x = 10
2x = 10
x = 10 : 2
x = 5
z = 6 − 5z
z + 5z = 6
6z = 6
z = 6 : 6
z = 1
9 + y = 4y
y − 4y = −9
−3y = −9
y = −9 : (−3)
y = 3
3x − 16 = 7x
3x − 7x = 16
−4x = 16
x = 16 : (−4)
x = −4
7z + 9 = 4z
7z − 4z = −9
3z = −9
z = −9 : 3
z = −3