Solve the system of equations.  Enter your answer as an ordered pair. 6x + 5y = 61 -5x + 5y = -5

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sciencesolve | Teacher | (Level 3) Educator Emeritus

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You may solve your system using elimination.

Subtracting the second equation from the first yields:

6x + 5y - (-5x + 5y) = 61 - (-5)

Opening the brackets yields:

6x + 5y + 5x - 5y = 61 + 5

Removing opposite terms yields:

11x = 66

Dividing both sides by 11 yields:

x = 6

Plug 6 in the first equation:

6*6 + 5y = 61

Subtracting 36 both sides yields:

5y = 61 - 36 => 5y = 25 => y = 5

The solution to the given system is the ordered pair (6;5).

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alfredalmond | Student, Undergraduate | eNotes Newbie

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This is not too hard you have to just find the values of x and y.substract the second equation from the first one then you got the value of x and just put it in any equation for y.used equipment

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