Simultaneous Equations - Quiz 3 Question

Solve the following system of simultaneous equations
 (1)
 (2)
Which of the following is the solution for
 a) b) c) d)

Not correct. Choice (a) is false.
Try again, this is the value of
Not correct. Choice (b) is false.
Try again. You need to add the equations together to eliminate
Solving by elimination we add the two equations and get    and hence
This then gives    since by substitution into (1) we have     and we check (2) and see that  So we have that    and
Not correct. Choice (d) is false.
Try again. You need to add the equations together to eliminate

Solve the system of equations below.
 (1)
 (2)
Which of the following is the solution for
 a) b) c) d)

Not correct. Choice (a) is false.
Try again, this is the value of n.
Not correct. Choice (b) is false.
Try again, check the sign.
Not correct. Choice (c) is false.
Try again, multiply (1) by 2 to eliminate    and solve for    then ﬁnd
Solving by elimination we multiply (1) by 2 to give
 (3)
Subtract (2) from (3) to give    Substitute    into (1) and
Check in (2) and     Hence    and

Consider the simultaneous equations below
 (1)
 (2)
Which of the following are the correct steps to eliminate from the equations?
 a) Multiply (1) by 2 and (2) by 5 and then add the equations. b) Multiply (1) by 3 and (2) by 2 and then add the equations. c) Multiply (1) by 2 and (2) by -3 and then add the equations. d) Multiply (1) by 3 and (2) by -2 and then add the equations.

Not correct. Choice (a) is false.
Try again, this eliminates
Not correct. Choice (b) is false.
Try again, you would need to subtract the equations to eliminate
Not correct. Choice (c) is false.
Try again, this gives
These steps give
and

Which of the following is the solution for a to the simultaneous equations
 (1)
 (2)
 a) b) c) d)

Not correct. Choice (a) is false.
Try again. To eliminate we multiply (1) by 2 and (2) by 3 and add the equations.
Not correct. Choice (b) is false.
Try again. To eliminate we multiply (1) by 2 and (2) by 3 and add the equations.
Not correct. Choice (c) is false.
Try again. To eliminate we multiply (1) by 2 and (2) by 3 and add the equations.
Solving by elimination we multiply (1) by 2 and (2) by 3.
 (3)
 (4)
Add equations (3) and (4) and get     and hence
Substitute    into equation (1) and get     so
Check in equation (2) and 3(2)-2(-3)=12 and we have     and

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) and b) and c) and d) and

Not correct. Choice (a) is false.
Try again, you the correct equations but you have solved for
Not correct. Choice (b) is false.
Try again, you have not multiplied 12 by 5. These are the wrong equations but it is the correct solution for    to the wrong equations.