X + 3y = −4 x + 5y = −6

1 answer
Question:

x + 3y = −4 x + 5y = −6

Answers

For this case we must solve the following system of equations:[tex]x + 3y = -4\\x + 5y = -6[/tex]We clear x of both equations:[tex]x = -4-3y\\x = -6-5y[/tex]We match:[tex]-4-3y = -6-5y\\-3y + 5y = -6 + 4\\2y = -2\\y = \frac {-2} {2}\\y = -1[/tex]We find the value of "x":[tex]x = -4-3 (-1)\\x = -4 + 3\\x = -1[/tex]Thus, the solution of the system is:[tex](x, y): (- 1, -1)[/tex]Answer:[tex](x, y): (- 1, -1)[/tex]

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