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Write the linear system:


C) Solve the system using substitution and then elimination. Show all work and

steps:


D) List the three parameter values: ab c == = _______ ________ ________


E) Write the quadratic equation: _______

Write the linear system C Solve the system using substitution and then elimination Show all work andstepsD List the three parameter values ab c E Write the quad class=

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xero099

Answer:

(See explanation for further details).

Step-by-step explanation:

C) The linear system is:

[tex](-1)^{2} \cdot a + (-1)\cdot b + c = 5[/tex]

[tex]c = - 4[/tex]

[tex](4)^{2}\cdot a + (4)\cdot b + c = 0[/tex]

After some algebraic handling:

[tex]a - b + c = 5[/tex]

[tex]c = -4[/tex]

[tex]16\cdot a + 4\cdot b + c = 0[/tex]

By direct substitution:

[tex]a - b - 4 = 5[/tex]

[tex]16\cdot a + 4\cdot b - 4 = 0[/tex]

[tex]a - b = 9[/tex]

[tex]4\cdot a + b = 1[/tex]

[tex]a = 9 + b[/tex]

[tex]4\cdot (9+b)+b = 1[/tex]

[tex]36 + 5\cdot b = 1[/tex]

[tex]5\cdot b = -35[/tex]

[tex]b = -7[/tex]

[tex]a = 2[/tex]

D) The parameter values are: [tex]a = 2[/tex], [tex]b = -7[/tex], [tex]c = -4[/tex]

E) The quadratic equation is [tex]y = 2\cdot x^{2} - 7\cdot x -4[/tex]

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