How do you solve and check your solutions to $5.6 = 1.1 p + 1.2$ $5.6=1.1p+1.2$ ?

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Answer 1 · 2017-01-31T23:03:17

See the entire simplification and verification process below:

First, subtract $1.2$ $color(red)(1.2)$ from both sides of the equation to isolate the $p$ $p$ term while keeping the equation balanced:

$5.6 - 1.2 = 1.1 p + 1.2 - 1.2$ $5.6 - color(red)(1.2) = 1.1p + 1.2 - color(red)(1.2)$

$4.4 = 1.1 p + 0$ $4.4 = 1.1p + 0$

$4.4 = 1.1 p$ $4.4 = 1.1p$

Now, divide each side of the equation by $1.1$ $color(red)(1.1)$ to solve for $p$ $p$ while keeping the equation balanced:

$\frac{4.4}{1.1} = \frac{1.1 p}{1.1}$ $4.4/color(red)(1.1) = (1.1p)/color(red)(1.1)$

$4 = (color(red)(cancel(color(black)(1.1)))p)/cancel(color(red)(1.1))$

$4 = p$

$p = 4$

To verify this solution substitute $4$ for $p$ in the original equation and calculate the right side of the equation and ensure it equals $5.6$ :

$5.6 = (1.1 xx 4) + 1.2$

$5.6 = 4.4 + 1.2$

$5.6 = 5.6$

Because both sides of the equation are equal $p = 4$ is a valid solution for this problem

How do you solve and check your solutions to 5.6=1.1p+1.25.6=1.1p+1.25.6=1.1p+1.2?