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Answer:

[tex]a=-4[/tex]

Step-by-step explanation:

[tex]4a+5=2+3.25a[/tex]

[tex]4a\cdot \:100+5\cdot \:100=2\cdot \:100+3.25a\cdot \:100[/tex]

[tex]400a+500=200+325a[/tex]

[tex]400a+500-500=200+325a-500[/tex]

[tex]400a=325a-300[/tex]

[tex]400a-325a=325a-300-325a[/tex]

[tex]75a=-300[/tex]

[tex]\frac{75a}{75}=\frac{-300}{75}[/tex]

[tex]a=-4[/tex]

Answer:

[tex]\boxed{\bold{a=-4}}[/tex]

Equation:

[tex]\bold{4a+5=2+3.25a}[/tex]

Step By Step Explanation:

  • Multiply Both Sides By 100

[tex]\bold{4a\cdot \:100+5\cdot \:100=2\cdot \:100+3.25a\cdot \:100}[/tex]

  • Simplify

[tex]\bold{400a+500=200+325a}[/tex]

  • Subtract 500 From Both Sides

[tex]\bold{400a+500-500=200+325a-500}[/tex]

  • Simplify

[tex]\bold{400a=325a-300}[/tex]

  • Subtract 325a From Both Sides

[tex]\bold{400a-325a=325a-300-325a}[/tex]

  • Simplify

[tex]\bold{75a=-300}[/tex]

  • Divide Both Sides By 75

[tex]\bold{\frac{75a}{75}=\frac{-300}{75}}[/tex]

Simplify

[tex]\bold{a=-4}[/tex]

                     [tex]\boxed{\bold{\bullet{}Mordancy\bullet{}}}[/tex]

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