To solve: The linear equation 0.65x+0.3x=x-3

Trent Carpenter

Trent Carpenter

Answered question

2021-08-17

To solve: The linear equation
0.65x+0.3x=x3

Answer & Explanation

Tasneem Almond

Tasneem Almond

Skilled2021-08-18Added 91 answers

Step 1
Consider the linear equation.
0.65x+0.3x=x3
Subtract x from both sides of the equation.
0.65x+0.3xx=x3x
Combine the like terms.
(0.65x0.3xx)=(xx)3
0.05x=03
0.05x=3
Express the decimal linear equation as an equivalent linear equation without decimals.
Multiply both sides of the equation by 100.
100(0.05x)=100(3)
5x=300
Divide both sides of the equation by 5
5x5=3005
x=60
Check the solution by substituting x=60 in the original equation.
0.65(60)+0.3(60)=?(60)3
39+18=?603
57=57 True
Since x=60 satisfies the original equation, the solution is 60.

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