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37 votes
37 votes
Solve the system by substitution. - y = x 3x + 5y = 20

User Sid Steward
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1 Answer

10 votes
10 votes

Answer:

x=-10 and y=10.

Step-by-step explanation:

Given the system of equations:


\begin{gathered} -y=x \\ 3x+5y=20 \end{gathered}

Substitute x with -y in the second equation.


\begin{gathered} 3x+5y=20 \\ 3(-y)+5y=20 \end{gathered}

Next, solve for y.


\begin{gathered} -3y+5y=20 \\ 2y=20 \\ y=(20)/(2) \\ y=10 \end{gathered}

Use y to solve for x.


\begin{gathered} x=-y \\ x=-10 \end{gathered}

Thus, the solution to the system of equations is x=-10 and y=10.

User Eevee
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3.1k points