Answered

Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Get immediate and reliable solutions to your questions from a community of experienced experts on our Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

Solve equations with variables on each side
3w+6=4w
a+18=7a
8c=5c+21

Sagot :

pranit3126

Answer:

a) w=6

b) a=3

c) c=7

Step-by-step explanation:

[tex]3w+6=4w[/tex]

[tex]\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}[/tex]

[tex]3w+6-6=4w-6[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]3w=4w-6[/tex]

[tex]\mathrm{Subtract\:}4w\mathrm{\:from\:both\:sides}[/tex]

[tex]3w-4w=4w-6-4w[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-w=-6[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-1[/tex]

[tex]\frac{-w}{-1}=\frac{-6}{-1}[/tex]

[tex]w=6[/tex]

___________________________________________

[tex]a+18=7a[/tex]

[tex]\mathrm{Subtract\:}18\mathrm{\:from\:both\:sides}[/tex]

[tex]a+18-18=7a-18[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]a=7a-18[/tex]

[tex]\mathrm{Subtract\:}7a\mathrm{\:from\:both\:sides}[/tex]

[tex]a-7a=7a-18-7a[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-6a=-18[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-6[/tex]

[tex]\frac{-6a}{-6}=\frac{-18}{-6}[/tex]

[tex]a=3[/tex]

We appreciate your time. Please come back anytime for the latest information and answers to your questions. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.