Obliczyć :
a) 2 (x-1) + 4 (x-3) = -3 (x-2) +9x
b) - 5(x-2)/2 = 5 - 3x/4
a)
2 (x-1) + 4 (x-3) = -3 (x-2) +9x
2x - 2 + 4x - 12 = -3x + 6 + 9x
6x - 14 = 6x + 6
-14 = 6 (fałsz)
odp. Równanie nie posiada rozwiązania.
b)
- 5(x-2)/2 = 5 - 3x/4 /*4
-10(x - 2) = 20 - 3x
-10x + 20 = 20 - 3x
-10x + 3x = 20 - 20
-7x = 0
x = 0
2(x-1) + 4(x-3) = -3(x-2) + 9x
2x + 4x + 3x - 9x = 6 + 2 + 12
0x = 20
sprzeczneb)
- 5(x-2)/2 = 5 - 3x/4
-5x + 10/2 = 5 - 3x/4
-x + 5 = 5 - 3x/4
-x + 3x/4 = 5 - 5
-x + 0,75x = 0
-0,25x = 0
x=0
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a)
2 (x-1) + 4 (x-3) = -3 (x-2) +9x
2x - 2 + 4x - 12 = -3x + 6 + 9x
6x - 14 = 6x + 6
-14 = 6 (fałsz)
odp. Równanie nie posiada rozwiązania.
b)
- 5(x-2)/2 = 5 - 3x/4 /*4
-10(x - 2) = 20 - 3x
-10x + 20 = 20 - 3x
-10x + 3x = 20 - 20
-7x = 0
x = 0
a)
2(x-1) + 4(x-3) = -3(x-2) + 9x
2x - 2 + 4x - 12 = -3x + 6 + 9x
2x + 4x + 3x - 9x = 6 + 2 + 12
0x = 20
sprzeczne
b)
- 5(x-2)/2 = 5 - 3x/4
-5x + 10/2 = 5 - 3x/4
-x + 5 = 5 - 3x/4
-x + 3x/4 = 5 - 5
-x + 0,75x = 0
-0,25x = 0
x=0