Question

`1.25\alpha +7=2.5`

Answer 1

`\boxed{\sf \alpha = - 3.6}`

Explanation:

`\sf Solve \: for \: \alpha : \\ \sf \implies 1.25\alpha + 7 = 2.5 \\ \\ \sf Subtract \: 7 \: from \: both \: sides: \\ \sf \implies 1.25 \alpha + (7 - \boxed{ \sf 7}) = 2.5 - \boxed{ \sf 7} \\ \\ \sf 7 - 7 = 0 : \\ \sf \implies 1.25 \alpha = 2.5 - 7 \\ \\ \sf 2.5 - 7 = - 4.5 : \\ \sf \implies 1.25 \alpha = \boxed{ \sf - 4.5} \\ \\ \sf Divide \: both \: sides \: of \: 1.25 \alpha = - 4.5 \: by \: 1.25: \\ \sf \implies (1.25 \alpha )/(1.25) = - (4.5)/(1.25) \\ \\ \sf (1.25)/(1.25) = 1 : \\ \sf \implies \alpha = - (4.5)/(1.25) \\ \\ \sf - (4.5)/(1.25) = - 3.6 : \\ \sf \implies \alpha = - 3.6`

Answer 2

GiveN:

• 1.25
  `\alpha` + 7 = 2.5

What to do?

• We have to solve for
  `\alpha`

Explanation:

For finding
`\alpha`, We need to follow the steps below.

Shifting 7 by subtracting from both sides of the eq.

⇒ 1.25
`\alpha` = 2.5 - 7

⇒ 1.25
`\alpha` = -4.5

Now dividing 1.25 from both sides,

⇒
`\alpha` = -4.5 / 1.25

⇒
`\alpha` = -3.6

Answer:

• m = -3.6