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Use the linear combination method to solve the system of equations. Explain each step of your solution.
2x - 3y = 13
x +2y = -4

Respuesta :

Answer:

[tex]\displaystyle [2, -3][/tex]

Step-by-step explanation:

{2x - 3y = 13

{x + 2y = −4

⅔[2x - 3y = 13]

{1⅓x - 2y = 8⅔

{x + 2y = −4

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[tex]\displaystyle \frac{2\frac{1}{3}x}{2\frac{1}{3}} = \frac{4\frac{2}{3}}{2\frac{1}{3}}[/tex]

[tex]\displaystyle x = 2[/tex][Plug this back into both equations above to get the y-coordinate of −3]; [tex]\displaystyle -3 = y[/tex]

* This is using the Elimination Method.

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