Solve the following system of equations: x - 2y = 14 x + 3y = 9

a. (1, 12)

b. (-1, - 12)

c. (12, - 1)

d. (12, 1)

Solve your system of equations step by step.

x-2y=14; x+3y=9

Solve x-2y=14 for x:

x-2y+2y=14+2y (Add 2y to both sides)

x=2y+14

Substitute (2y+14) for x in x+3y=9:

x+3y=9

2y+14+3y=9

5y+14=9 (Simplify both sides of the equation)

5y+14+-14=9+-14 (Add - 14 to both sides)

5y=-5

5y5=-55 (Divide both sides by 5)

y=-1

Substitute (-1) for y in x=2y+14:

x=2y+14

x = (2) (-1) + 14

x=12 (Simplify both sides of the equation)

So,

y=-1

x=12

Answer is C)