 Simultaneous Equations - Quiz 2 Question Question 1 Which of the following is the solution for in the simultaneous equations (1) (2)
 a) b) c) d) Not correct. Choice (a) is false.
Try again, you need to add equations (1) and (2) to eliminate Solving by elimination we add the two equations and get and hence This then gives since and we check in (2)
and see that So we have that and Not correct. Choice (c) is false.
Try again, you need to add equations (1) and (2) to eliminate Not correct. Choice (d) is false.
Try again, you need to add equations (1) and (2) to eliminate Question 2 Solve the system of simultaneous equations below. (1) (2)
Which of the following is the solution for a) b) c) d) Not correct. Choice (a) is false.
Try again, you need to multiply equation (1) by 5 and subtract (2) from it.
Multiply equation (1) by 5 to give (3)
Subtract equation (2) from (3) to give which Substitute into (1) and which gives Check in (2) and we have Hence and Not correct. Choice (c) is false.
Try again, you need to multiply equation (1) by 5 and subtract (2) from it.
Not correct. Choice (d) is false.
Try again, you need to multiply equation (1) by 5 and subtract (2) from it.
 Question 3 Consider the simultaneous equations below (1) (2)
Which of the following are the correct steps to eliminate x from the equations?
 a) Multiply equation (1) by 3 and (2) by 2 and subtract the equations. b) Multiply equation (1) by 3 and (2) by 2 and add the equations. c) Multiply equation (1) by 5 and (2) by 7 and subtract the equations. d) Multiply equation (1) by 5 and (2) by 7 and add the equations.

This gives us  When we subtract one from the other we get and Not correct. Choice (b) is false.
Try again, this would not eliminate but give us Not correct. Choice (c) is false.
Try again, you have eliminated Not correct. Choice (d) is false.
Try again, you seem to be trying to eliminate Question 4 Consider the system of simultaneous equations below (1) (2)
Which of the following is the solution for a) b) c) d) Solving by elimination we multiply (1) by 3 and (2) by 2. (3) (4)
Subtract equations (4) from (3) and get Substitute into equation (1) and get so Check in equation (2 and we have and Not correct. Choice (b) is false.
Try again, we multiply (1) by 3 and (2) by 2 to eliminate Not correct. Choice (c) is false.
Try again, we multiply (1) by 3 and (2) by 2 to eliminate Not correct. Choice (d) is false.
Try again, we multiply (1) by 3 and (2) by 2 to eliminate Question 5 Consider the system of simultaneous equations below (1) (2)
Which of the following is the correct simplification of the problem and solution for to the system?
 a) The system becomes  and b) The system becomes  and c) The system becomes  and d) The system becomes  and there is no solution to the system.

Not correct. Choice (a) is false.
The system is correct but the solution is incorrect.
Not correct. Choice (b) is false.
Try again, the system is incorrect but the value of is correct for that system.  and   (3) (4)
When we multiply equation (3) by 3 and (4) by 11 we have (5) (6)
Adding equations (5) and (6) we have Substituting into (3) we have Check in (3) and we have Hence and Not correct. Choice (d) is false.
Try again, you have not simplified the system correctly.