Thread: Help with some "quadratics": Non-Linear Systems of Equations.

EX 1 --- What are the solutions to the following system of equations?
y = x2 + 12x + 35
4x + y = –28
A) (–7, 0) and (9, –8)
B) (0, –7) and (–9, 8)
C) (–7, 0) and (–9, 8) D) (0, –7) and (9, –8)

Ex2 --- Which system of equations is represented by the graph?



A) y = x2 – 5x – 3
6x – y = –27
B) y = x2 – 5x + 3
6x – y = 27
C) y = x2 + 5x + 3
6x + y = –27 D) y = x2 + 5x – 3
6x + y = 27

Ex3 --- What are the solutions to the following system of equations?
y = 2x2 + 13x + 20
5x – y = 1

A) (–2, 2) and (1, 4)
B) (2, –2) and (4, 1)
C) (–2, 2) and (4, 1)
D) No Real Solutions

Ex4 --- What is the solution to the following system of equations?
y = x2 + 10x + 11
y = x2 + x – 7
A) (–2, –5)
B) (2, –5)
C) (–2, 5)
D) (2, 5)


EX5 --- What are the solutions to the following system of equations?
y = x2 + 12x + 30
8x – y = 10
A) (–4, –2) and (2, 5)
B) (–2, –4) and (2, 5)
C) (–2, –4) and (5, 2) D) No Real Solutions


THANKSSS!!!!!

Originally Posted by raimel

EX 1 --- What are the solutions to the following system of equations?
y = x2 + 12x + 35
4x + y = –28
A) (–7, 0) and (9, –8)
B) (0, –7) and (–9, 8)
C) (–7, 0) and (–9, 8) D) (0, –7) and (9, –8)

Ex2 --- Which system of equations is represented by the graph?



A) y = x2 – 5x – 3
6x – y = –27
B) y = x2 – 5x + 3
6x – y = 27
C) y = x2 + 5x + 3
6x + y = –27 D) y = x2 + 5x – 3
6x + y = 27

Ex3 --- What are the solutions to the following system of equations?
y = 2x2 + 13x + 20
5x – y = 1

A) (–2, 2) and (1, 4)
B) (2, –2) and (4, 1)
C) (–2, 2) and (4, 1)
D) No Real Solutions

Ex4 --- What is the solution to the following system of equations?
y = x2 + 10x + 11
y = x2 + x – 7
A) (–2, –5)
B) (2, –5)
C) (–2, 5)
D) (2, 5)


EX5 --- What are the solutions to the following system of equations?
y = x2 + 12x + 30
8x – y = 10
A) (–4, –2) and (2, 5)
B) (–2, –4) and (2, 5)
C) (–2, –4) and (5, 2) D) No Real Solutions


THANKSSS!!!!!

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Originally Posted by raimel

EX 1 --- What are the solutions to the following system of equations?
y = x2 + 12x + 35
4x + y = –28
A) (–7, 0) and (9, –8)
B) (0, –7) and (–9, 8)
C) (–7, 0) and (–9, 8) D) (0, –7) and (9, –8)

Ex2 --- Which system of equations is represented by the graph?



A) y = x2 – 5x – 3
6x – y = –27
B) y = x2 – 5x + 3
6x – y = 27
C) y = x2 + 5x + 3
6x + y = –27 D) y = x2 + 5x – 3
6x + y = 27

Ex3 --- What are the solutions to the following system of equations?
y = 2x2 + 13x + 20
5x – y = 1

A) (–2, 2) and (1, 4)
B) (2, –2) and (4, 1)
C) (–2, 2) and (4, 1)
D) No Real Solutions

Ex4 --- What is the solution to the following system of equations?
y = x2 + 10x + 11
y = x2 + x – 7
A) (–2, –5)
B) (2, –5)
C) (–2, 5)
D) (2, 5)


EX5 --- What are the solutions to the following system of equations?
y = x2 + 12x + 30
8x – y = 10
A) (–4, –2) and (2, 5)
B) (–2, –4) and (2, 5)
C) (–2, –4) and (5, 2) D) No Real Solutions


THANKSSS!!!!!

Solving these systems boils down to solving a quadratic equation, which you have been given plenty of help with and should know how to. As to how to get the quadratic equation, you need to go to your class notes or textbook and review some relevant examples. After doing this, please show what work you've been able to do and say exactly where you're still stuck.