consider the following system of equations 2x+3y=45 x+y=10 what is the x value of the solution for this system
2 answers:
Answer:
value of x = -15
Step-by-step explanation:
Given the system of equation:
.....[1]
......[2]
Multiply equation [2] with 3 we have;
......[3]
Subtract equation [3] from [1] to eliminate y and solve for x;
Combine like terms;
Divide both side by -1 we have;
x = -15
Therefore, the value of x of the solution for the given system is, -15
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Answer:
Error of Andrew: Made incorrect factors from the roots
Step-by-step explanation:
Roots of the polynomial are: 3, 2 + 2i, 2 - 2i. According to the factor theorem, if a is a root of the polynomial P(x), then (x - a) is a factor of P(x). According to this definition:
(x - 3) , (x - (2 + 2i)) , (x - (2 - 2i)) are factors of the required polynomial.
Simplifying the brackets, we get:
(x - 3), (x - 2 - 2i), (x - 2 + 2i) are factors of the required polynomial.
This is the step where Andrew made the error. The factors will always be of the form (x - a) , not (x + a). Andrew wrote the complex factors in form of (x + a) which resulted in the wrong answer.
So, the polynomial would be: