Pre-AP Review Test 1 Systems

The pictures below represents a system of 3 equations in 3 dimensions. How many solutions does each system have? No Solution One Solution Infinitely Many Solutions 2. A student is solving the following system of equations using the elimination method.x-3y+2z=12 (i)-3x+2y-5z=1 (ii)3x+2y-3z=5 (iii)If the student wants to eliminate the z variable from equations (i) and (ii), explain the first step that he would have to take. Multiply equation (i) by 5, and multiply equation (ii) by -2 Multiply equation (i) by 5, and multiply equation (ii) by 2 Multiply equation (i) by -3, and multiply equation (ii) by -4 Multiply equation (i) by 3, and multiply equation (ii) by -4 3. A student was solving the equation below using substitution.The student made a mistake. In what part did the error occur? (In the next question, you will find the correct answer to this system.) Part 1 Part 2 Part 3 No Error 4. Now find the correct solution. (3, -4, 1) (15, -2, 5) (-2, -6, -5) (-5, 8, 5) 5. A student is solving a question using a matrix and has gotten to this point. Finish solving the system. (-8, 9, -5) (-1, 0, 4) (4, -10, -5) (3, 2, -10) 6. Solve the following system using the substitution method, elimination method, or a matrix.x-4y+4z=-7-x+y-z=4-3x-5y-4z=-5 (-2, 3, 8) (-3, 5, -2) (2, -4, 1) (-3, 2, 1)