Mathematics: Solve the equation for m: 2m + 1 = -3m - 1

Using Pythagoras:-height = sqrt ( 18.1^2 - 16.2)^2) = 8.07 cm to nearest hundredth...

Solve the equation for m: 2m + 1 = -3m - 1

tay840

10.01.2022

m = $\frac{-2}{5}$

Step-by-step explanation:

2m + 1 = -3m - 1 (Given)

2m + 1 + 1 = -3m - 1 + 1 (Addition Property of Equality)

2m + 2 = -3m (Simplify)

2m - 2m + 2 = -3m - 2m (Subtraction Property of Equality)

2 = -5m (Simplify)

$\frac{2}{-5} = \frac{-5m}{-5}$ (Division Property of Equality)

$\frac{-2}{5}$ = m (Simplify)

m = $\frac{-2}{5}$ (Symmetric Property of Equality)

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