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Systems of Equations True or False

1. What number should you multiply Row 1 by to use the elimination method in this system of equations:

-3x – 6y = 11
2x + 18y = 6 -> 3

2. Solve this system of equations using the elimination method:

2x + 5y = 10
-2x + 9y = 18 -> (2,5)

3. Using a graphing calculator, find a solution to this system of equations:

y = ln(x2)
y = 6x + 1 -> (0, -1.64)

4. What method is easiest for solving this system of equations:

y = -2.1x – 6.9
3x – 10y = 1.9 -> Substitution

5. What does the "solution of a system of equations" mean? -> Where two equations intersect
6. What method does the Gaussian method for solving systems of equations use? -> Elimination
7. Solve the following system of equations:

3x + 2y – 2z = 3
3y + 4z = 7
z = 1 -> (1, 1, 0)

8. What shape are you trying to achieve when doing Gaussian elimination? -> Rectangle
9. Solve this system of equations using Gaussian elimination:

-x + 5y + 2z = 5
2xyz = -7
y + z = 1 -> (2, 0, -1)

10. What is the solution to the following system of equations:

2x – 2y – 2z = 6
3x + yz = 3
-2x + 2y + 2z = 5 -> No solution


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