To solve: The linear equation 0.15p-2.5=5

Cem Hayes 2021-08-15 Answered
To solve: The linear equation 0.15p2.5=5
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Expert Answer

Alix Ortiz
Answered 2021-08-16 Author has 109 answers
Step 1
Express the decimal linear equation as an equivalent linear equation without decimals.
Multiply both sides of the equation by 100.
100(0.15p2.5)=100(5)
Distribute 100 to the equation.
100(0.15p)100(2.5)=100(5)
15p250=500
Add 250 to both sides of the equation.
15p250+250=500+250
15p+0=750
15p=750
Divide both sides of the equation by 15.
15p15=75015
p=50
Check the solution by substituting p=50 in the original equation.
0.15(50)2.5=?5
7.52.5=?5
5=5 True
Since p=50 satisfies the original equation, the solution is 50.
Therefore, the solution set is {50}
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