22y + 100 = 25y + 70 equations problem

Mathematics

2 answers:

frosja888 [35]3 years ago

5 0

Answer:

y = 10

Step-by-step explanation:

22y + 100 = 25y + 70

100 = 3y + 70

30 = 3y

y = 30 ÷ 3

y = 10

Arte-miy333 [17]3 years ago

5 0

Answer:

y=10

Step-by-step explanation:

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Answer:

$\huge\boxed{A.\ \dfrac{565}{182}}$

Step-by-step explanation:

$\dfrac{8}{7}-(5x-3)=\dfrac{1}{5}x-12\\\\\dfrac{8}{7}-5x+3=\dfrac{1}{5}x-12\qquad|\text{multiply both sides by 35}\\\\35\cdot\dfrac{8}{7}-35\cdot5x+35\cdot3=35\cdot\dfrac{1}{5}x-35\cdot12\qquad|\text{simplify}\\\\5\cdot8-175x+105=7\cdot x-420\\\\40-175x+105=7x-420\\\\-175x+(40+105)=7x-420\\\\-175x+145=7x-420\qquad|\text{subtract 145 from both sides}\\\\-175x=7x-565\qquad|\text{subtract }7x\ \text{from both sides}\\\\-182x=-565\qquad|\text{divide both sides by (-182)}\\\\x=\dfrac{565}{182}$