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21 votes
21 votes
Use the first equation to solve for an expression equal to y

Use the first equation to solve for an expression equal to y-example-1
User Ppatierno
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1 Answer

13 votes
13 votes

Solution:

Given the equations:


\begin{gathered} x+y=70\text{ ---- equation 1} \\ x-y=30\text{ ----- equation 2} \end{gathered}

To solve for an expression equal to y, using the first equation, we make y the subject of the formula in equation 1.

Thus, from equation 1,


\begin{gathered} x+y=70 \\ \end{gathered}

Add -x to both sides of the equation.

Thus,


\begin{gathered} -x+x+y=-x+70 \\ \Rightarrow y=-x+70 \end{gathered}

Hence, we have


y=-x+70

The third option is the correct answer.

User Aram
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3.1k points