Question

Solve for a.
4a+5=2+3.25a

Answer 1

`\boxed{\bold{a=-4}}`

Equation:

`\bold{4a+5=2+3.25a}`

Step By Step Explanation:

• Multiply Both Sides By 100

`\bold{4a\cdot \:100+5\cdot \:100=2\cdot \:100+3.25a\cdot \:100}`

• Simplify

`\bold{400a+500=200+325a}`

• Subtract 500 From Both Sides

`\bold{400a+500-500=200+325a-500}`

• Simplify

`\bold{400a=325a-300}`

• Subtract 325a From Both Sides

`\bold{400a-325a=325a-300-325a}`

• Simplify

`\bold{75a=-300}`

• Divide Both Sides By 75

`\bold{(75a)/(75)=(-300)/(75)}`

Simplify

`\bold{a=-4}`

`\boxed{\bold{\bullet{}Mordancy\bullet{}}}`

Answer 2

`a=-4`

Explanation:

`4a+5=2+3.25a`

`4a\cdot \:100+5\cdot \:100=2\cdot \:100+3.25a\cdot \:100`

`400a+500=200+325a`

`400a+500-500=200+325a-500`

`400a=325a-300`

`400a-325a=325a-300-325a`

`75a=-300`

`(75a)/(75)=(-300)/(75)`

`a=-4`