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What's
X-y=3
2x+y=12

Sagot :

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[tex]\begin{Bmatrix}x-y&=&3\\2x+y&=&12\end{matrix}[/tex]

Let's sum the second row with the first one

[tex]\begin{Bmatrix}x-y+2x+y&=&3+12\\2x+y&=&12\end{matrix}[/tex]

[tex]\begin{Bmatrix}3x&=&15\\2x+y&=&12\end{matrix}[/tex]

[tex]\begin{Bmatrix}x&=&5\\2x+y&=&12\end{matrix}[/tex]

replace the value of x

[tex]\begin{Bmatrix}x&=&5\\2*5+y&=&12\end{matrix}[/tex]

[tex]\begin{Bmatrix}x&=&5\\10+y&=&12\end{matrix}[/tex]

[tex]\begin{Bmatrix}x&=&5\\y&=&12-10\end{matrix}[/tex]

[tex]\boxed{\boxed{\begin{Bmatrix}x&=&5\\y&=&2\end{matrix}}}[/tex]
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