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1. Use the equation 2m+4s=16 to complete this following table:2. Graph the line using s as the dependent variable.

1. Use the equation 2m+4s=16 to complete this following table:2. Graph the line using-example-1
User Gur
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1 Answer

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Step-by-step explanation

Step1

isolate m


\begin{gathered} 2m+4s=16 \\ subtract\text{ 4s in both sides} \\ 2m+4s-4s=16-4s \\ 2m=16-4s \\ \text{divide both sides by 2} \\ (2m)/(2)=(16)/(2)-(4s)/(2) \\ m=8-2s\rightarrow equation \end{gathered}

Step 2

now, replace

a)when m=0


\begin{gathered} m=8-2s \\ 0=8-2s \\ 2s=8 \\ \text{divide both sides by 2} \\ (2s)/(2)=(8)/(2) \\ s=4 \end{gathered}

so, in the first box put 4.

b)when s=3


\begin{gathered} m=8-2s \\ m=8-2(3) \\ m=8-6 \\ m=2 \end{gathered}

so, when s=3, m=2

put 2 in the next box

c)when m=-2


\begin{gathered} m=8-2s \\ -2=8-2s \\ -2-8=-2s \\ -10=-2s \\ s=(-10)/(-2)=5 \\ s=5 \end{gathered}

then, when m=-2, s=5

d)when s=0


\begin{gathered} m=8-2s \\ m=8-2(0) \\ m=8-0 \\ m=8 \end{gathered}

I hope this helps you

User Chirag Soni
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