Zadanie 1.
a)
b)
c)
d)
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a)![5(3-x)+\frac{x-3}{2}=4x+5 |\times2 \\ 10(3-x)+x-3=8x+10 \\ 30-10x+x-3-8x-10=0 \\ -17x=-17 \\ x=1 5(3-x)+\frac{x-3}{2}=4x+5 |\times2 \\ 10(3-x)+x-3=8x+10 \\ 30-10x+x-3-8x-10=0 \\ -17x=-17 \\ x=1](https://tex.z-dn.net/?f=5%283-x%29%2B%5Cfrac%7Bx-3%7D%7B2%7D%3D4x%2B5+%7C%5Ctimes2+%5C%5C+10%283-x%29%2Bx-3%3D8x%2B10+%5C%5C+30-10x%2Bx-3-8x-10%3D0+%5C%5C+-17x%3D-17+%5C%5C+x%3D1)
b)![4(x-1)+\frac{2x-1}{3}=3x-1|\times3 \\ 12(x-1)+2x-1=9x-3 \\ 12x-12+2x-1-9x+3=0 \\ 5x=10 \\ x=2 4(x-1)+\frac{2x-1}{3}=3x-1|\times3 \\ 12(x-1)+2x-1=9x-3 \\ 12x-12+2x-1-9x+3=0 \\ 5x=10 \\ x=2](https://tex.z-dn.net/?f=4%28x-1%29%2B%5Cfrac%7B2x-1%7D%7B3%7D%3D3x-1%7C%5Ctimes3+%5C%5C+12%28x-1%29%2B2x-1%3D9x-3+%5C%5C+12x-12%2B2x-1-9x%2B3%3D0+%5C%5C+5x%3D10+%5C%5C+x%3D2)
c)![2(5-x)-\frac{7-x}{2}=x-1|\times2 \\ 4(5-x)-(7-x)=2x-2 \\ 20-4x-7+x-2x+2=0 \\ -5x=-15 \\ x=3 2(5-x)-\frac{7-x}{2}=x-1|\times2 \\ 4(5-x)-(7-x)=2x-2 \\ 20-4x-7+x-2x+2=0 \\ -5x=-15 \\ x=3](https://tex.z-dn.net/?f=2%285-x%29-%5Cfrac%7B7-x%7D%7B2%7D%3Dx-1%7C%5Ctimes2+%5C%5C+4%285-x%29-%287-x%29%3D2x-2+%5C%5C+20-4x-7%2Bx-2x%2B2%3D0+%5C%5C+-5x%3D-15+%5C%5C+x%3D3)
d)![3(2x-7)-\frac{3x-4}{4}=5-x |\times4 \\ 12(2x-7)-(3x-4)=20-4x \\ 24x-84-3x+4-20+4x=0 \\ 25x=100 \\ x=4 3(2x-7)-\frac{3x-4}{4}=5-x |\times4 \\ 12(2x-7)-(3x-4)=20-4x \\ 24x-84-3x+4-20+4x=0 \\ 25x=100 \\ x=4](https://tex.z-dn.net/?f=3%282x-7%29-%5Cfrac%7B3x-4%7D%7B4%7D%3D5-x+%7C%5Ctimes4+%5C%5C+12%282x-7%29-%283x-4%29%3D20-4x+%5C%5C+24x-84-3x%2B4-20%2B4x%3D0+%5C%5C+25x%3D100+%5C%5C+x%3D4)