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Anna007 [38]
2 years ago
6

Please the answer to question 1,2,3 and 4

Mathematics
1 answer:
Kay [80]2 years ago
3 0

Answer:

1.

x=5

y=4

2.

y=19.8

x=4.2

3.

x=16

y=70.4

4.

a=28

b=25/7

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\frac{6\left(x-2\right)}{2}=\frac{3\left(x+5\right)}{8}\\\mathrm{Apply\:fraction\:cross\:multiply:\:if\:}\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c\\6\left(x-2\right)\cdot \:8=2\cdot \:3\left(x+5\right)\\Simplify\\48\left(x-2\right)=6\left(x+5\right)\\\mathrm{Expand\:}48\left(x-2\right):\quad 48x-96\\48\left(x-2\right)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac\\a=48,\:b=x,\:c=2\\=48x-48\cdot \:2\\\mathrm{Multiply\:the\:numbers:}\:48\cdot \:2=96

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\frac{42x}{42}=\frac{126}{42}\\Simplify\\x=3

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