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marin [14]
4 years ago
6

Solve the system using substitution. Show work. {4x+5y=7 {y=3x+9

Mathematics
1 answer:
hichkok12 [17]4 years ago
3 0

\it \begin{cases}\it4x+5y=7
\\\;\\ \it y=3x+9 \ \ \ \ (*) \end{cases}


\it 4x+5y=7 \stackrel{(*)}{\Longrightarrow} 4x+5(3x+9) = 7 \Rightarrow 4x+15x+ 45 =7 \Rightarrow  
\\\;\\
\Rightarrow 4x+15x=7-45 \Rightarrow  19x= -38 \Rightarrow  x = \dfrac{-38}{19} \Rightarrow  x= -2



\it x=-2 \stackrel{(*)}{\Longrightarrow} y=3\cdot(-2) +9 \Rightarrow y=-6+9 \Rightarrow  y=3
\\\;\\
So,\ we\ have: \begin{cases} \it x=-2
\\\;\\
\it y=3\end{cases}





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