Lesson 2-2 Solve systems of equations Solve each system of equations algebraically. involving three variables algebraically. 17. x - 2y - 3z = 2 Solve the system of equations. -3x + 5y + 42 = 0 x-y+z=5 x - 4y + 3z = 14 (-10, -6, 0) -3x + 2y - z = -8 18. -x + 2y - 6z = 4 2x + y +z=4 it and Combine pairs of equations to eliminate z. xty + 2z = 3 x - y+z = 5 -3x + 2y - z = -8 2x + 3y - 4z = 5 (-1, 3, 0.5) -3x + 2y - z=-8 2x + y+ z= 4 19. x - 2y +z = 7 -2x + y = -3 -x + 3y = -4 3x + y - z* 2 -5y = 5 2x + 3y + 2z = 7 . (2, -1, 3) y = -1 -2x + (-1) =-3-x =1 (1) - (-1) +z =5-z =3 Solve for z. The solution is (1, - 1, 3)