CPM Homework Help : CC3MN Problem 4-51

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Home > CC3MN > Chapter 4 > Lesson 4.1.5 > Problem 4-51

4-51.

For each equation below, solve for the variable. Check your solutions, if possible, and show all work.

$3p-7+9-2p=p+2$ , solve for $p$
Hint (a):
First, try rewriting all of the subtraction as addition, then attempt to solve by combining like terms.
$3p+(-7)+9+(-2p)=p+2$
$p+2=p+2$
$p=p$
Answer (a):
Since $p=p$ (or $2=2$ , depending on how you solved the problem), $p$ can equal any number.

$-2x+5+(-x)-5=0$ , solve for $x$
Hint (b):
Refer to parts (a) and (d).

$12=r+6-2r$ , solve for $r$
Hint (c):
Refer to parts (a) and (d).

$-(y^2-2)=y^2-5-2y^2$ , solve for $y$
Hint (d):
One strategy is to rewrite all of the subtraction within the problem as addition.
$-y^2+2=y^2+-5+-2y^2$
Step (d):
Now simplify, starting with combining like terms and then isolating the variable.
$-y^2+2=-y^2+-5$
$2=-5$
Answer (d):
No solution because $2$ is not equal to $-5$ .

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