melodykap

2020-12-25

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

insonsipthinye

Subtract 0.8 m from both sides of the equation.
$1.2m-3.2-0.8m=0.8m-1.6-0.8m$
Combine the like terms.
$\left(1.2m-0.8m\right)-3.2=\left(0.8m-0.8m\right)-1.6$
$0.4m-3.2=0-1.6$
$0.4m-3.2=-1.6$
Again, add 3.2 to both sides of the equation.
$0.4m-3.2+3.2=-1.6+3.2$
Combine the like terms.
$0.4m-0=-1.6+3.2$

Express rhe decimal linear equation as an equivalent linear equation without decimals.
Multiply both sides of the equation by 10.
$10\left(0.4m\right)=10\left(1.6\right)$

Divide both sides of the equation by 4.
$\frac{4m}{4}=\frac{16}{4}$
$m=4$
Check the solution by substituting $m=4$ in the original equation.
$1.2\left(4\right)-3.2\left(=\right)0.8\left(4\right)-1.6$
$4.8-3.2=3.2-1.6v$
$1.6=1.6$
Since $m=4$ satisfiesnthe original equation, the solution is 4.

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