Week 7 Math

 

Answer all questions:

Using the Substitution method: Find the ordered paired solution for the following linear system of equations.

Q1

2x + y = − 7

5x + 3y = − 21

Q2

2x + 3y = 16

− 7x − y = 20

Using the Elimination method: Find the ordered paired solution for the following linear system of equations.

Q3

y = 6x -11

-2x – 3y = -7

Q4

-7x – 2y = -13

X – 2y = 11

Using the Substitution method: Find the ordered paired solution for the following nonlinear system of equations.

Q5

y = x2 + 4x + 5

y = x2 + 2x – 1

Q6

x2 + y = 4

2x + y = 1

Using a method of your choice: Find the ordered paired solution for the following nonlinear system of equations.

Q7

x2 - y2 - 4x + 6y - 4 = 0

x2 + y2 - 4x - 6y + 12 = 0

Q8

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?

Q9

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.

Q10

y=3x+1

4y=12x+3