Answer all questions:
Using the Substitution method: Find the ordered paired solution for the following linear system of equations.
2x + y = _ 7
5x + 3y = _ 21
2x + 3y = 16
_ 7x _ y = 20
Using the Elimination method: Find the ordered paired solution for the following linear system of equations.
y = 6x -11
-2x 3y = -7
-7x 2y = -13
X 2y = 11
Using the Substitution method: Find the ordered paired solution for the following nonlinear system of equations.
y = x2 + 4x + 5
y = x2 + 2x 1
x2 + y = 4
2x + y = 1
Using a method of your choice: Find the ordered paired solution for the following nonlinear system of equations.
x2 – y2 – 4x + 6y – 4 = 0
x2 + y2 – 4x – 6y + 12 = 0
x2 + 4y2 = 20
x + 2y = 6
Using a graph, plot the system of equations. Is there a solution? If yes what is the solution? If no why?
x – y + 3z =3
-2x + 2y -8z = 6
y – 5z = -3
Using a method of your choice: Find a solution for the following nonlinear system of equations. If there is no solution – explain why, why not, or explain the equations’ condition.
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