How many solutions does the system have? {y=−3x+5y=x2−3x+5
2 answers:
Answer:
Only one solution does the system have
Step-by-step explanation:
Given the system of equations:
.....[1]
....[2]
Equate these two equations we have;
Add 3x to both sides we have;
Subtract 5 from both sides we have;
⇒
Substitute this value of x in [1] we have;
Simplify:
y = 5
⇒ is the only solution for the given equations.
Therefore, there is only one solution for the given system of equations.
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The answer to the given question is as below:-
Polynomials:-
x³-7x²+9x-5x⁴-20
x⁵-5x⁴+4x³+2x-1
3x²-5x⁴+2x-12
Non-polynomial:-
x⁻5-5x⁻⁴+4x⁻³+2x⁻1-1
A polynomial is a mathematical equation made up of indeterminates and coefficients and involves only addition, subtraction, multiplication, and non-negative integer exponentiation of variables. The exponents of the polynomials can not be irrational.
So the table will be formed as:-
Polynomials:- Non-polynomial:-
x³-7x²+9x-5x⁴-20 x⁻5-5x⁻⁴+4x⁻³+2x⁻1-1
x⁵-5x⁴+4x³+2x-1
3x²-5x⁴+2x-12
Therefore the polynomials and non-polynomials are shown in the table above.
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