To check , whether the given equation has solution or not, lets start with first one
A.[tex] 7w+8-w=9w-2(w-4) [/tex]
Open the parenthesis, and simplify
[tex] \Rightarrow 7w+8-w=9w-2w+8\\
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\text{Take the like terms together}\\
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\Rightarrow 7w-9w-w+2w=8\\
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\Rightarrow 9w-10w=8\\
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\Rightarrow w=-8\\
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\text{Hence it has the solution.}\\
[/tex]
B. [tex] 3m-2=5m+3-m\\ [/tex]
[tex] 3m-2=5m+3-m\\
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\text{Take like terms together we get}\\
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3m-5m+m=3+2\\
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-m=5\\
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m=-5\\
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\text{Hence it has the solution}\\
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[/tex]
C. [tex] 8-(3v+7)=3v-1 [/tex]
Take like terms together and simplify we get
[tex] 8-3v-7=3v-1\\
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6v=8-7+1\\
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6v=2\\
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v=\frac{1}{3}\\
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\text{Hence it also has the solution} [/tex]
D.[tex] -4y+5=-4y-8 [/tex]
Take like terms together
[tex] -4y+4y=-8-5\\
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0=-13=False\\ [/tex]
Hence this equation has no solution.
