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Step-by-step explanation:
11. x-1/2= 5
x = 5+1/2
x = 11/2
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(10)
[tex]\displaystyle\sf{\frac{\frac{3}{4}y+7}{\frac{2}{5}y-4}=\frac{5}{4}[/tex]
[tex]\implies\displaystyle\sf{\frac{\frac{28+3y}{4}}{\frac{2y-20}{5}}=\frac{5}{4}[/tex]
[tex]\implies\displaystyle\sf{\frac{3y+28}{2y-20}=\frac{5}{4}[/tex]
[tex]\implies\displaystyle\sf{4(3y+28)=5(2y-20)[/tex]
[tex]\displaystyle\sf{\implies 12y+112=10y-100[/tex]
[tex]\displaystyle\sf{\implies 2y=-212[/tex]
[tex]\implies\displaystyle\sf{y=-106[/tex]
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(11)
[tex]\displaystyle\sf{x-\frac{1}{2}=5[/tex]
[tex]\implies\displaystyle\sf{\frac{2x-1}{2}=5[/tex]
[tex]\implies\displaystyle\sf{2x-1=10[/tex]
[tex]\implies\displaystyle\sf{2x=11[/tex]
[tex]\implies\displaystyle\sf{x=\frac{11}{2}[/tex]
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(12)
[tex]\displaystyle\sf{0.6x+0.8=0.28x+1.16[/tex]
[tex]\displaystyle\sf{Multiplying\:LHS\:and\:RHS\:by\:100\:,[/tex]
[tex]\implies\displaystyle\sf{60x+80=28x+116[/tex]
[tex]\implies\displaystyle\sf{32x=36[/tex]
[tex]\displaystyle\sf{Dividing\:both\:sides\:by\:4[/tex]
[tex]\implies\displaystyle\sf{8x=9[/tex]
[tex]\implies\displaystyle\sf{x=\frac{9}{8}[/tex]
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(13)
[tex]\displaystyle\sf{\frac{3x+5}{2x+7}=4[/tex]
[tex]\implies\displaystyle\sf{3x+5=4(2x+7)[/tex]
[tex]\implies\displaystyle\sf{3x+5=8x+28[/tex]
[tex]\implies\displaystyle\sf{5x=-23[/tex]
[tex]\implies\displaystyle\sf{x=\frac{-23}{5}[/tex]
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(14)
[tex]\displaystyle\sf{4(3w+2)-5(6w-1)=2(w-8)-6(7w-4)+4w[/tex]
[tex]\implies\displaystyle\sf{12w+8-30w+5=2w-16-42w+24+4w[/tex]
[tex]\implies\displaystyle\sf{18w=-5[/tex]
[tex]\implies\displaystyle\sf{w=\frac{-5}{18}[/tex]