In this worksheet, we will practice using Cramer's rule to solve a system of linear equations.

**Q1: **

Is Cramer’s rule useful for finding solutions to systems of linear equations in which there is an infinite set of solutions?

- Ano
- Byes

**Q2: **

William is solving simultaneous equations using Cramer’s rule. He writes down

What does he write down for ?

- A
- B
- C
- D
- E

**Q4: **

Use determinants to solve the system

- A
- B
- C
- D
- E

**Q5: **

Use determinants to solve the system

- A ,
- B ,
- C ,
- D ,
- E ,

**Q6: **

Use determinants to solve the system

- A ,
- B ,
- C ,
- D ,
- E ,

**Q7: **

Use determinants to solve the system

- A ,
- B ,
- C ,
- D ,
- E ,

**Q8: **

Use determinants to solve the system

- A , ,
- B , ,
- C , ,
- D , ,
- E , ,

**Q9: **

Solve the simultaneous equations

- A , ,
- B , ,
- C , ,
- D , ,
- E , ,

**Q10: **

11 sketchbooks and 15 crayons cost 377 LE, and 15 sketchbooks and 16 crayons cost 474 LE. Use Cramer’s rule to find the price of a sketchbook and the price of a crayon.

- AA sketchbook costs 22 LE and a crayon costs 1,078 LE.
- BA sketchbook costs 441 LE and a crayon costs 1,078 LE.
- CA sketchbook costs 441 LE and a crayon costs 9 LE.
- DA sketchbook costs 22 LE and a crayon costs 9 LE.
- EA sketchbook costs 9 LE and a crayon costs 2.70 LE.

**Q11: **

Use Cramer’s rule to solve the simultaneous equations

- A , ,
- B , ,
- C , ,
- D , ,
- E , ,

**Q12: **

Use determinants to solve the system

- A , ,
- B , ,
- C , ,
- D , ,

**Q13: **

True or False: Suppose that is a system of equations with . The solution vector is

- AFalse
- BTrue

**Q14: **

Given that and , determine the values of and .

- A ,
- B ,
- C ,
- D ,

**Q16: **

Use determinants to solve the system

- A ,
- B ,
- C ,
- D ,
- E ,

**Q17: **

Use determinants to solve the system

- A ,
- B ,
- C ,
- D ,
- E ,