Question

Which equation can be solved by using this system of equations?

{ y=3x^5-5x^3+2x^2-10x+4 } and { y=4x^4+6x^3-11 }

a. 3x^5-5x^3+2x^2-10x+4 = 0
b. 3x^5-5x^3+2x^2-10x+4 = 4x^4+6x^3-11
c. 3x^5+4x^4+x^3+2x^2-10x-7 = 0
d. 4x^4+6x^3-11 = 0

Answer 1

b. 3x^5-5x^3+2x^2-10x+4 = 4x^4+6x^3-11

B is the correct answer

Answer 2

`3x^5-5x^3+2x^2-10x+4=4x^4+6x^3-11`

Explanation:

We have been given the system of equations

`y=3x^5-5x^3+2x^2-10x+4.......(1)\\y=4x^4+6x^3-11......(2)`

Now, in order to solve the system of equation, we can use the below concept.

Since, both the equations, equation (1) and (2) is equal to the variable y. Hence, the expressions of the right hand side of both equations should be equal.

Therefore, we the rewrite it as

`3x^5-5x^3+2x^2-10x+4=4x^4+6x^3-11`

Therefore, b is the correct equation which we can use to solve the system of equation.