1.Solve thesystem of equations by any method.

2x+5y=-35

7x+2y=25

Enter the exact answer as an ordered pair, (x,y).

If there is no solution, enter NS.If there is an infinite number of solutions, enter the general solution as an ordered pair in terms of x.

Include a multiplication sign between symbols. For example,a*x.

2.Solve thesystem of equations by any method.

6x+11y=16

x+2y=4

Enter the exact answer as an ordered pair, (x,y).

If there is no solution, enter NS.If there is an infinite number of solutions, enter the general solution as an ordered pair in terms of x.

Include a multiplication sign between symbols. For example,a*x.

3.Solve thesystem of equations by any method.

4x+8y=36

x2y=9

Enter the exact answer as an ordered pair, (x,y).

If there is no solution, enter NS.If there is an infinite number of solutions, enter the general solution as an ordered pair in terms of x.

Include a multiplication sign between symbols. For example,a*x.

4.Use a system of linear equations with two variables and two equations to solve.

A number is 10 more than another number. Twice the sum of the two numbers is 36. Find the two numbers.

Enter the numbers in increasing order.

First Number:

Second Number:

5.Use a system of linear equations with two variables and two equations to solve.

185 students enrolled in a freshman-level chemistry class. By the end of the semester, 4 times the number of students passed as failed. Find the number of students who passed, and the number of students who failed.

Passing Students:

Failing Students:

6. Solve thesystem of equations by any method.

1) 3x4y+2z=20

2) 2x+4y+z=19

3) 2x+3y+5z=26

Enter the exact answer as an ordered triple,(x,y,z).

Hint: There are multiple ways to solve this system of equations.

• A strategy is to eliminate one of the variables and end up with 2 equations in 2 variables.
• One way to do that is tobegin with equation 2 to get z=192x4y.
• Then substitute 192x4y forzin equations 1 and 3.
• You now have 2 equations (the modified equations 1 and 3) in 2 variables (xandy).
• Solve this smaller system forxandyand then use z=192x4y to calculatez.

7.Use the matrices below to perform the indicated operation if possible.

10 0 B = C = -4 3 74 10 2 6 B = - 9 0 C = - 11