Question

answer the following questions​

Answer 1

Step-by-step explanation:

11. x-1/2= 5

x = 5+1/2

x = 11/2

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Answer 2

(10)

$\displaystyle\sf{\frac{\frac{3}{4}y+7}{\frac{2}{5}y-4}=\frac{5}{4}$

$\implies\displaystyle\sf{\frac{\frac{28+3y}{4}}{\frac{2y-20}{5}}=\frac{5}{4}$

$\implies\displaystyle\sf{\frac{3y+28}{2y-20}=\frac{5}{4}$

$\implies\displaystyle\sf{4(3y+28)=5(2y-20)$

$\displaystyle\sf{\implies 12y+112=10y-100$

$\displaystyle\sf{\implies 2y=-212$

$\implies\displaystyle\sf{y=-106$

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(11)

$\displaystyle\sf{x-\frac{1}{2}=5$

$\implies\displaystyle\sf{\frac{2x-1}{2}=5$

$\implies\displaystyle\sf{2x-1=10$

$\implies\displaystyle\sf{2x=11$

$\implies\displaystyle\sf{x=\frac{11}{2}$

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(12)

$\displaystyle\sf{0.6x+0.8=0.28x+1.16$

$\displaystyle\sf{Multiplying\:LHS\:and\:RHS\:by\:100\:,$

$\implies\displaystyle\sf{60x+80=28x+116$

$\implies\displaystyle\sf{32x=36$

$\displaystyle\sf{Dividing\:both\:sides\:by\:4$

$\implies\displaystyle\sf{8x=9$

$\implies\displaystyle\sf{x=\frac{9}{8}$

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(13)

$\displaystyle\sf{\frac{3x+5}{2x+7}=4$

$\implies\displaystyle\sf{3x+5=4(2x+7)$

$\implies\displaystyle\sf{3x+5=8x+28$

$\implies\displaystyle\sf{5x=-23$

$\implies\displaystyle\sf{x=\frac{-23}{5}$

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(14)

$\displaystyle\sf{4(3w+2)-5(6w-1)=2(w-8)-6(7w-4)+4w$

$\implies\displaystyle\sf{12w+8-30w+5=2w-16-42w+24+4w$

$\implies\displaystyle\sf{18w=-5$

$\implies\displaystyle\sf{w=\frac{-5}{18}$