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{2x + 3y = 5}{ y= 5 x -4}

1 Answer

5 votes

Solve the system using substitutions:


\begin{gathered} 2x+3y=5 \\ 2x+3(5x-4)=5 \\ 2x+15x-12=5 \\ 17x=5+12 \\ 17x=17 \\ x=(17)/(17) \\ x=1 \end{gathered}

x has a value of 1. Use this value to find the value of y.


\begin{gathered} y=5x-4 \\ y=5\cdot1-4 \\ y=5-4 \\ y=1 \end{gathered}

y has a value of 1.

x=1

y=1

User Mike Walker
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