Answer:
p=6
Step-by-step explanation:
We are given the equation:
[tex]2p+7p=54[/tex]
We want to find p, so we must isolate p on one side of the equation.
First, combine like terms on the left side of the equation. Both terms have the variable "p" and can be added.
[tex](2p+7p)=54[/tex]
[tex]9p=54[/tex]
p is being multiplied by 9. The inverse of multiplication is division. Divide both sides of the equation by 9.
[tex]\frac{9p}{9}=\frac{54}{9}[/tex]
[tex]p=\frac{54}{9}[/tex]
[tex]p=6[/tex]
Let's check our solution. Plug 6 in for p and solve.
[tex]2p+7p=54[/tex]
[tex]2(6)+7(6)=54[/tex]
[tex]12+42=54[/tex]
[tex]54=54[/tex]
This checks out, so we know our solution is correct.
The solution is 2p+7p=54 is p=6
