Answer: [tex]y=5.666667[/tex] or [tex]y=5 \frac{6}{9}[/tex] in fraction
Step-by-step explanation:
1. Simplify -9.8-y+2.8y to -9.8+1.8y
0.4=-9.8+1.8y0.4=−9.8+1.8y
2. Regroup terms
0.4=1.8y-9.8
3. Add 9.8 to both sides.
0.4+9.8=1.8y
4. Simplify 0.4+9.8 to 10.2
10.2=1.8y
5. Divide both sides by 1.8
[tex]\frac{10.2}{1.8} =y\\[/tex]
6. Simplify [tex]\frac{10.2}{1.8\\}[/tex] to 5.666667
5.666667 = [tex]y[/tex]
7. Switch sides.
[tex]y=5.666667[/tex]
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Answer:
[tex]y=\frac{17}{3}\\\\y =5\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]0.4 = -9.8 -y + 2.8y\\\\Switch\:sides\\\\-9.8-y+2.8y=0.4\\\\\mathrm{Add\:similar\:elements:}\:-y+2.8y=1.8y\\\\-9.8+1.8y=0.4\\\\\mathrm{Multiply\:both\:sides\:by\:}10\\\\-9.8\times\:10+1.8y\times\:10=0.4\times\:10\\\\Refine\\\\-98+18y=4\\\\\mathrm{Add\:}98\mathrm{\:to\:both\:sides}\\\\-98+18y+98=4+98\\\\Simplify\\\\18y=102\\\\\mathrm{Divide\:both\:sides\:by\:}18\\\\\frac{18y}{18}=\frac{102}{18}\\\\Simplify\\\\y=\frac{17}{3}\\\\y =5\frac{2}{3}[/tex]
