Odpowiedź:
a)
3x + 5 = 6 + 2x |-5
3x + 5 - 5 = 6 + 2x - 5
3x = 1 + 2x |-2x
3x - 2x = 1 + 2x - 2x
x = 1
sprawdzenie:
L = 3x + 5 = 3*1 + 5 = 3+5 = 8
P = 6 + 2x = 6 + 2 * 1 = 6+2 = 8
L = P
sposób II
3x + 5 = 6 + 2x
3x + 5 - 2x = 6
x + 5 = 6
x = 6 - 5
x = 1
b)
9 - 2x = 17 - 4x |+4x
9 - 2x + 4x = 17 - 4x + 4x
9 + 2x = 17 |-9
9 + 2x - 9 = 17 - 9
2x = 8 |:2
2x : 2 = 8 :2
x = 4
sprawdzenie:
L = 9 - 2x = 9 - 2*4 = 9 - 8 = 1
P = 17 - 4x = 17 - 4 * 4 = 17 - 16 = 1
L = P
sposób II
9 - 2x = 17 -4x
9 - 2x + 4x = 17
9 + 2x = 17
2x = 17 - 9
2x = 8 |:2
x = 4
Szczegółowe wyjaśnienie: