[tex]1.25\alpha +7=2.5[/tex]

[tex] \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 \frac{1.25 \alpha }{1.25} = - \frac{4.5}{1.25} \\ \\ \sf \frac{1.25}{1.25} = 1 : \\ \sf \implies \alpha = - \frac{4.5}{1.25} \\ \\ \sf - \frac{4.5}{1.25} = - 3.6 : \\ \sf \implies \alpha = - 3.6[/tex]

FadedElla FadedElla · Answer 2 · 2020-10-30T12:21:44+01:00

FadedElla FadedElla

30-10-2020

GiveN:

1.25[tex]\alpha[/tex] + 7 = 2.5

What to do?

We have to solve for [tex]\alpha[/tex]

Step-by-step explanation:

For finding [tex]\alpha[/tex], We need to follow the steps below.

Shifting 7 by subtracting from both sides of the eq.

⇒ 1.25[tex]\alpha[/tex] = 2.5 - 7

⇒ 1.25[tex]\alpha[/tex] = -4.5

Now dividing 1.25 from both sides,

⇒ [tex]\alpha[/tex] = -4.5 / 1.25

⇒ [tex]\alpha[/tex] = -3.6

Answer:

m = -3.6

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