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Solve the system of equations. y=4x+5y=x2+12x+20

Sagot :

Answer:

 [tex]\begin{pmatrix}x=-3,\:&y=-7\\ x=-5,\:&y=-15\end{pmatrix}\\[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}y=x^2+12x+20\\ y=4x+5\end{bmatrix}[/tex]

[tex]\mathrm{Subtract\:the\:equations}[/tex]

[tex]y=x^2+12x+20[/tex]

[tex]y-y=x^2+12x+20-\left(4x+5\right)[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]0=x^2+8x+15[/tex]

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