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Solve for y Simplify your answer as much as possible Find by linear equation.

Solve for y Simplify your answer as much as possible Find by linear equation.-example-1
User Nikolay Shubenkov
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1 Answer

30 votes
30 votes

Given the equation:


-7=(3y+7)/(4)-(9y-5)/(2)

We will solve the equation to find y

Multiply the equation by 4 to eliminate the denominators


\begin{gathered} 4(-7)=4\cdot(3y+7)/(4)-4\cdot(9y-5)/(2) \\ \\ -28=(3y+7)-2(9y-5) \\ -28=3y+7-18y+10 \end{gathered}

Combine the like terms


\begin{gathered} -28=(3y-18y)+(7+10) \\ -28=-15y+17 \\ \end{gathered}

Subtract (17) to both sides


\begin{gathered} -28-17=-15y+17-17 \\ -45=-15y \end{gathered}

Divide both sides by (-15)


\begin{gathered} (-45)/(-15)=(-15y)/(-15) \\ \\ y=3 \end{gathered}

So, the answer will be y = 3

User M Karimi
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