Assignment: [tex]\bold{Simplify \ Expression: \ 80g+30h=10\left(g+h\right)}[/tex]
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Answer: [tex]\boxed{\bold{g=-\frac{2h}{7}}}[/tex]
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Explanation: [tex]\downarrow\downarrow\downarrow[/tex]
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[ Step One ] Expand [tex]\bold{10\left(g+h\right): \ 10g+10h}[/tex]
[tex]\bold{80g+30h=10g+10h}[/tex]
[ Step Two ] Subtract 30h From Both Sides
[tex]\bold{80g+30h-30h=10g+10h-30h}[/tex]
[ Step Three ] Simplify
[tex]\bold{80g=10g-20h}[/tex]
[ Step Four ] Subtract 10g From Both Sides
[tex]\bold{80g-10g=10g-20h-10g}[/tex]
[ Step Five ] Simplify
[tex]\bold{70g=-20h}[/tex]
[ Step Six ] Divide Both Sides By 70
[tex]\bold{\frac{70g}{70}=\frac{-20h}{70}}[/tex]
[ Step Seven ] Simplify
[tex]\bold{g=-\frac{2h}{7}}[/tex]
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[tex]\bold{\rightarrow Mordancy \leftarrow}[/tex]
Answer:
[tex]g= -\frac{7}{2}[/tex]
Step-by-step explanation:
80g + 30h = 10g + 10h
70g = -20h
g = [tex]-\frac{70}{20} = -\frac{7}{2}[/tex]
