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Solve for the indicated variable in terms of the other variable. Explain how you arrived at your answer. -2x + 7y = 18; x =

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Mlcparra16viz
[tex]-2x+7y=18[/tex]

We add [tex]2x[/tex] to both sides:
[tex]2x-2x+7y=18+2x \\ 7y=18+2x[/tex]

We now subtract 18 from both sides
[tex]7y-18=-18+18+2x \\ 7y-18=2x[/tex]

We divide both sides by 2 to leave x at the RHS (Right hand side)
[tex] \frac{7y-18}{2} = \frac{2x}{2} \\ \frac{7y-18}{2} =x[/tex]

Then [tex]x=\frac{7y-18}{2}[/tex]