Solving 3x3 Systems with Elimination Method (Part 1)

Use the steps to solve the following system:1) x + y - 2z = 52) -x + 2y + z = 23) 2x + 3y - z = 9 The equations are numbered to help you. 3y - z = 7 combine equation#1 and #2 to eliminate x 7y + z = 13 multiply equation#2 times 2 and then combine equation#2 and #3 to eliminate x 10y = 20 combine the two new equations to eliminate z y = 2 solve for y z = -1 use either of the equations from step 1 or 2 to substitute the value for y and solve for z x = 1 Substitute y and z into any of the original functions and solve for x ( 1, 2, -1 ) Write the solutions as a set Solve the following 3x3 system using elimination: x + y + z = 6 2x - y + 3z = 5 3x + 2z = 13 (5, 2, -1) Solve the following 3x3 system using elimination method: (1, 2, -1) Use the steps to solve the following system:1) x + y + z = 32) x - 2y + 4z = 63) y + z = 5 The equations are numbered to help you. 3y - 3z = -3 multiply equation#2 times (-1) and then combine equation#1 and #2 to eliminate x y - z = -1 factor out the greatest common factor from the new equation (Look at the equation you picked for the step above and factor out, which means divide, by a 3) 2y = 4 combine the new equation from the last step with equation#3 to eliminate z y = 2 solve for y 2 + z = 5 use equation#3 to substitute the value for y to solve for z z = 3 solve for z x + 2 + 3 = 3 substitute y and z into equation#1 to solve for x x = -2 solve for x (-2, 2, 3) write the solutions as a set