Answer:
x = 6 and y = -4 or (6,-4)
Step-by-step explanation:
To solve the system, multiply an equation to create same coefficients for one variable. Then stack the equations and perform elimination to solve for each variable.
Multiply 4x + 3y = 12 by 3. It becomes 12x + 9y = 36.
12x + 9y = 36
+-3x - 9y = 18
--------------------------
9x = 54
x = 6
To solve for y, substitute x = 6 into one of the equations.
12(6) + 9y = 36
72 + 9y = 36
9y = -36
y = -4