Question

solve for the unknown:
●Do in step
●Do all the questions and give correct answers ​

Answer 1

1)16/5x=1/10

5x=160

x=32

2)y+3/5=14

y+3=70

y=67

3)36/x+2=12

36=12x+24

12=12x

x=1

4)15/4x=45/8

180x=120

x=2/3

5)3/2x+7/2x=5

10/2x=5

10=10x

x=1

6)x+4/6=3

x+4=18

x=14

7)2p/9= -4

2p= -36

p= -18

Hope it helps you.

Please mark it as brainlist.

Answer 2

Answer:-

$\tt{(i)\:\dfrac{16}{5x}=\dfrac{1}{10}}$

$\leadsto\sf{16 \times 10 = 1 \times 5x}$

$\leadsto\sf{16 \times 10 = 5x}$

$\leadsto\sf{16 = \dfrac{5x}{10}}$

$\leadsto\sf{16 = \dfrac{x}{2}}$

$\leadsto\sf{x = 16 \times 2}$

$\leadsto\underline{\bf{x = 32}}$

$\rule{100}1$

$\tt{(ii)\:\dfrac{y+3}{5}=14}$

$\leadsto\sf{y+3 = 14 \times 5}$

$\leadsto\sf{y+3 = 70}$

$\leadsto\sf{y = 70-3}$

$\leadsto\underline{\bf{y = 67}}$

$\rule{100}1$

$\tt{(iii)\:\dfrac{36}{x+2}=12}$

$\leadsto\sf{36 = 12 \times x+2}$

$\leadsto\sf{\dfrac{36}{12} = x+2}$

$\leadsto\sf{3 = x+2}$

$\leadsto\underline{\bf{x = 1}}$

$\rule{100}1$

$\tt{(iv)\:\dfrac{15}{4x}=\dfrac{45}{8}}$

$\leadsto\sf{15 \times 8 = 45 \times 4x}$

$\leadsto\sf{120 = 45 \times 4x}$

$\leadsto\sf{\dfrac{120}{45} = 4x}$

$\leadsto\sf{\dfrac{24}{9} = 4x}$

$\leadsto\sf{24 = 36x}$

$\leadsto\sf{x = \dfrac{24}{36}}$

$\leadsto\underline{\bf{x = \dfrac{2}{3}}}$

$\rule{100}1$

$\leadsto\tt{(v)\:\dfrac{3}{2x}+\dfrac{7}{2x}=5}$

$\leadsto\sf{\dfrac{10}{2x}=5}$

$\leadsto\sf{\dfrac{5}{x}=5}$

$\leadsto\sf{5 = 5x}$

$\leadsto\underline{\bf{x = 1}}$

$\rule{100}1$

$\tt{(vi)\:\dfrac{x+4}{6}=3}$

$\leadsto\sf{x+4 = 18}$

$\leadsto\sf{x = 18-4}$

$\leadsto\underline{\bf{ = 14}}$

$\rule{100}1$

$\tt{(vii)\:\dfrac{2p}{9}=-4}$

$\leadsto\sf{2p = 9 \times -4}$

$\leadsto\sf{2p = -36}$

$\leadsto\sf{p = \dfrac{-36}{2}}$

$\leadsto\underline{\bf{p = -18}}$

$\rule{100}1$