Solve:
a) 5x + 7/2 = 3x/2 - 14
b) 3(y-5)/4 - 4y = 3 - y-3/4
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Answer:
a) ³⁵/₁₃ b)- ⁸/₃
Step-by-step explanation:
a) 5x + ⁷/₂ = ³ˣ/₂ - 14 Add 14 to both sides
- 5x + ⁷/₂ + 14 = ³ˣ/₂ Subtract 5x to both sides
- ⁷/₂ + 14 = ³ˣ/₂ - 5x Convert both sides to improper fraction
- = ⁷/₂ + ¹⁴/₁ = ³ˣ/₂ - ⁵ˣ/₁ LCM = 2
- = ⁷/₂ + ²⁸/₂ = ³ˣ/₂ - ¹⁰ˣ/₂ Simplify each
- ³⁵/₂ = ¹³ˣ/₂ Multiply both sides by 2
- 35 = 13x
- x = ³⁵/₁₃
b) Answer in the attatchment please
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