Choose the equivalent system of linear equations that will produce the same solution as the one given below:
4x-y=-11
2x+3y=5
a. -4x-9y=-21
-10y=-30
b. 4x+3y=5
2y=-6
c. 7x-3y=-11
9x=-6
d. 12x-3y=-33
14x=-28
*will give brainliest answer* : -)

D is the answer as the both have solution x=-2 y=3
14x=-28       12(-2)-3y=-33
x=-2              -3y=-9
                       y=3
from the given equation
4x-y=11 eq 1
2x+3y=5 eq 2
x=y-11/4 from equation 1
subsitute this value of x in equation 2
2(y-11/4)+3y=5
y-11+6y=10
7y-11=10
y=3
subsitude this value of y in equation (x=y-11/4)
so x= -2 
thus same solution so ANSWER IS D

Hello!

the correct option is:

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

why?

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!

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