How can one fourthx − 3 =one halfx + 8 be set up as a system of equations? a 4y + 4x = −12 2y + 2x = 16 b 4y − x = −12 2y − x = 16 c 4y + x = −12 2y + x = 16 d 4y − 4x = −12 2y − 2x = 16

4y − x = −12

2y − x = 16

Step-by-step explanation:

Given :

We get,

  ..........(1)

.....(2)

Multiply equation (1) by 4 , we get,

or

Now, multiply equation (2) by 2 , we get,

or

Hence, option B is correct.

the barter

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!