How do you solve and check the solution for $4p+5 = 11 +3p$ ?

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Answer 1 · 2016-10-20T23:38:32

The solution is $p = 6$ .

Use inverse operations to solve the equation.

$4p + 5 = 11 + 3p$
$4p - 3p + 5 = 11 + 3p - 3p$
$p + 5 = 11$
$p + 5 - 5 = 11 - 5$
$p = 6$

To check your solution, substitute it for $p$ in the original equation to see if it makes the equation true.

$4p + 5 = 11 + 3p$
$4(6) + 5 = 11 + 3(6)$
$24 + 5 = 11 + 18$
$29 = 29$

Since $6$ does make the equation true, it is the solution.

How do you solve and check the solution for 4p+5 = 11 +3p4p+5 = 11 +3p?