Get the answer to "To solve: The linear equation 1.2r=−1+2.8 and check..."

Tabansi

Answered question

2021-08-20

To solve: The linear equation

1.2 r = - 1 + 2.8

and check the solution.

d2saint0

Skilled2021-08-21Added 89 answers

Calculation:
The given linear equation is,

1.2 r = - 1 + 2.8

.
Combine the like terms.

1.2 r = 1.8

Express the decimal linear equation as an equivalent linear equation without decimals.
Multiply both sides of the equation by 10.

1.2 r (10) = 1.8 (10)

12 r = 18

Divide both sides of the equation by 12.

\frac{12 r}{12} = \frac{18}{12}

r = \frac{3}{2}

Check the solution by substituting

r = \frac{3}{2}

in the original equation.

1.2 (\frac{3}{2}) =^{?} - 1 + 2.8

0.6 (3) =^{?} 1.8

1.8 = 1.8

[TRUE]
Since

r = \frac{3}{2}

satisfies the original equation, the solution is

\frac{3}{2}

.
Therefore, the solution set is

{\frac{3}{2}}

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