Solving Systems of Three Equations with Elimination

Solve the system by elimination: $$4x + 4y + z = 24$$ , $$2x - 4y + z = 0$$ , $$5x - 4y - 5z = 12$$ .

(a)  

Solve the system by elimination: $$4r - 4s + 4t = -4$$ , $$4r + s - 2t = 5$$ , $$-3r - 3s - 4t = -16$$ .

(a)  

Solve the system by elimination: $$x - 6y + 4z = -12$$ , $$x + y - 4z = 12$$ , $$2x + 2y + 5z = -15$$ .

(a)  

Solve the system by elimination: $$x - y - 2z = -6$$ , $$3x + 2y = -25$$ , $$-4x + y - z = 12$$ .

(a)  

Solve the system by elimination: $$5a + 5b + 5c = -20$$ , $$4a + 3b + 3c = -6$$ , $$-4a + 3b + 3c = 9$$ .

Solve the system of equations: $$5x - 4y + 2z = 21$$ , $$-x - 5y + 6z = -24$$ , $$-x - 4y + 5z = -21$$ .

(a)  

Solve the system of equations: $$6r - s + 3t = -9$$ , $$5r + 5s - 5t = 20$$ , $$3r - s + 4t = -5$$ .

(a)  

What is the solution to the system of equations: $$3a - 3b + 4c = -23$$ , $$a + 2b - 3c = 25$$ , $$4a - b + c = 25$$ ?

(a)