1. Work through the steps to decide what type of solution we have here:

2. Quick answer:

3. Recap the steps: You have 3 equations, what type of solution are they?
If it is not unique, complete the following:
Check if they are parallel - Make the coefficients of one of the variables the same. If everything else is the same, except the constant, then they are parallel. You have magic carpets (inconsistent and no solutions)
If two of them are parallel, but the third isn’t, then you have ninja styles (inconsistent and no solutions)
If they are not parallel, you either have tents or books. So they either intersect along a line, or the intersection of 2 planes is parallel to the third.

4. Recap the steps: You have 3 equations, what type of solution are they?
If it is not unique, complete the following:
4) Eliminate one of the variables, so that you only get two equations with two variables. These two equations are the lines that two of the planes intersect along.
If these equations are the same, then you have a book – they intercept along the spine of the book (dependent and many solutions).
If these two equations are parallel – the same except for the constant, then you have a tent (inconsistent and no solutions)

6. Practice today
Today’s questions are sneaky questions where you may have to rearrange or divide through by a constant to see what solutions you have

7. What type of solution is this?

8. Answer

9. What type of solution is this?

10. Answer

11. What types of solutions are these?

12. Answer

13. If we need more… Finish off your worksheet from yesterday.
Did you complete the homework pages from yesterday?? Do them now!!
Page 30 (just questions 53 and 54) and decide which type of solution you have got. Also do page 27 (questions ).