Find the missing coordinate to complete the ordered-pair solution to the given linear equation. 3x-2y=11 (a) (−1, ) (b) ( ,2)

Hi there! The solutions are (-1, -7) and (5, 2)

a. The x-coordinate is given, x = - 1

Filling in this value gives us the following:
3 * - 1 - 2y = 11- 3 - 2y = 11

Now add 3 to both sides of the equation
-2y = 14
Finally divide by (both sides) -2
y = 14 / -2 = -7

Hence, (-1, -7)

b. The y-coordinate is given, y = 2

Filling in this value gives us the following:
3x - 2 * 2  = 113x - 4 = 11

Now add 4 to both sides of the equation
3x = 15

Finally divide by (both sides) 3
x = 15 / 3 = 5

Hence, (5, 2)

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Aand b are correctly balanced reactions. they have the same number of atoms in both sides of the reaction