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I need help with this problem. I started it but I got to a point where it seemed wrong so I just can't figure out what I did wrong.

I Need Help With This Problem I Started It But I Got To A Point Where It Seemed Wrong So I Just Cant Figure Out What I Did Wrong class=

Sagot :

Given the following system:

[tex]\mleft\{\begin{aligned}x+5y=4 \\ 3x+15y=-1\end{aligned}\mright.[/tex]

We can solve for x on the first equation and then subsitute it's value on the other equation:

[tex]\begin{gathered} x+5y=4 \\ \Rightarrow x=4-5y \\ 3x+15y=-1 \\ \Rightarrow3(4-5y)+15y=-1 \\ \Rightarrow12-15y+15y=-1 \\ \Rightarrow12=-1 \end{gathered}[/tex]

We found an inconsistency on the system, since 12=-1 can never happen. Therefore, there is no solution to the system.

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