Solve for α
\alpha =\frac{50}{7}\approx 7.142857143
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140\alpha =1000
The equation is in standard form.
\frac{140\alpha }{140}=\frac{1000}{140}
Divide both sides by 140.
\alpha =\frac{1000}{140}
Dividing by 140 undoes the multiplication by 140.
\alpha =\frac{50}{7}
Reduce the fraction \frac{1000}{140} to lowest terms by extracting and canceling out 20.
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