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7. Identify the solution to the system of equations: x = -2y - 6-3x - 7y = 18

7. Identify the solution to the system of equations: x = -2y - 6-3x - 7y = 18-example-1

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In order to find the solution to the given system of equations, proceed as follow:

Replace the first equation into the second equation and solve for y:

-3x - 7y = 18

-3(-2y - 6) - 7y = 18

6y + 18 - 7y = 18

6y - 7y = 18 - 18

-y = 0

y = 0

Next, replace the previous value into the first equation of the system and solve for x:

x = -2y - 6

x = -2(0) - 6

x = -6

Hence, the solution of the system is x = -6 and y = 0

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