Answer:
[tex]\boxed{\bold{Decimal: \ n \ = \ -3.7}}[/tex]
[tex]\boxed{\bold{Fraction: \ n=-\frac{37}{10}}}[/tex]
Step By Step Explanation:
Rewrite Equation:
[tex]\bold{\left(-y+5.3\right)+\left(7.2y-9\right)=6.2y+n}[/tex]
Switch Sides:
[tex]\bold{6.2y+n=\left(-y+5.3\right)+7.2y-9}[/tex]
Remove Parenthesis: (a) = a
[tex]\bold{6.2y+n=-y+5.3+7.2y-9}[/tex]
Group Like Terms:
[tex]\bold{6.2y+n=-y+7.2y+5.3-9}[/tex]
Combine Similar Elements: [tex]\bold{-y+7.2y=6.2y}[/tex]
[tex]\bold{6.2y+n=6.2y+5.3-9}[/tex]
Subtract: [tex]\bold{5.3-9=-3.7}[/tex]
[tex]\bold{6.2y+n=6.2y-3.7}[/tex]
Multiply Both Sides By 10:
[tex]\bold{6.2y\cdot \:10+n\cdot \:10=6.2y\cdot \:10-3.7\cdot \:10}[/tex]
Refine:
[tex]\bold{62y+10n=62y-37}[/tex]
Subtract 62y From Both Sides:
[tex]\bold{62y+10n-62y=62y-37-62y}[/tex]
Refine:
[tex]\bold{10n=-37}[/tex]
Divide Both Sides By 10:
[tex]\bold{\frac{10n}{10}=\frac{-37}{10}}[/tex]
Simplify:
[tex]\bold{n=-\frac{37}{10}}[/tex]
Turn Fraction Into Decimal:
[tex]\bold{-37 \ \div \ 10}[/tex]
Refine:
[tex]\bold{-3.7}[/tex]
- Mordancy
