| Description: |
Solve the systems using the subsititution or elimination method.
1.{5x+2y=-1
{7x+3y=-1
How many solutions are there to this system?
x=
y=
2. {-x+y=-3
{4x-3=9
How many solutions are there to this system?
x=
y=
3. {2x-6y=-24
{-3x+9y=36
How many solutions are there to this system?
x=
y=
4.For each system, determine whether it is has a unique solution (in this case, find the solution), infinitely many solutions, or no solutions.
A. {9x+8y=0
{1x-7y=0
x=
y=
B. {4x-2y =8
{-4+2y =-7
x=
y=
C. {-7x-4y= -30
{-7x-5y= -27
x=
y=
D. {-5x+4y =28
{15x-12y=-84
x=
y=
Solve the system using elimination
{2x+4y+5z=23
{-3x-6y+6z=6
{x-5y+4z=-12
x=
y=
z=
Find two numbers whose sum is -1 and whose difference is -5.
The largest of the two numbers is:
The smallest of the two numbers is:
Solve the system using matrices (row operations)
{-4x-4y =12
{2x+4y =-8
How many solutions are there to this system?
x=
y=
Solve the system using matrices (row operations)
{-6+y-5z =-8
{x-2y-4z =-6
{-5x-5y-2z=-30
How many solutions are there to this system?
x=
y=
z=
Susan places $6200 in three investments at rates of 6%,7.2% and 10.8% per annum, respectively. The total income after one year is $529.20. If the amount placed in the third investment is $900 more than the amount placed in the second, find the amount of each investment.
6%=
7.2%=
10.8%
|
