To determine: The linear equation 1.2m−3.2−1.6 and check the solution.

Question

insonsipthinye · Accepted Answer

Subtract 0.8 m from both sides of the equation.
$1.2 m - 3.2 - 0.8 m = 0.8 m - 1.6 - 0.8 m$
Combine the like terms.
$(1.2 m - 0.8 m) - 3.2 = (0.8 m - 0.8 m) - 1.6$
$0.4 m - 3.2 = 0 - 1.6$
$0.4 m - 3.2 = - 1.6$
Again, add 3.2 to both sides of the equation.
$0.4 m - 3.2 + 3.2 = - 1.6 + 3.2$
Combine the like terms.
$0.4 m - 0 = - 1.6 + 3.2$
$0.4 m = 1.6$
Express rhe decimal linear equation as an equivalent linear equation without decimals.
Multiply both sides of the equation by 10.
$10 (0.4 m) = 10 (1.6)$
$4 m = 16$
Divide both sides of the equation by 4.
$\frac{4 m}{4} = \frac{16}{4}$
$m = 4$
Check the solution by substituting $m = 4$ in the original equation.
$1.2 (4) - 3.2 (=) 0.8 (4) - 1.6$
$4.8 - 3.2 = 3.2 - 1.6 v$
$1.6 = 1.6$
Since $m = 4$ satisfiesnthe original equation, the solution is 4.

To determine: The linear equation displaystyle{1.2}{m}-{3.2}-{1.6} and check the solution.

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