Can anyone help me solve this question

(6, 3 )

Step-by-step explanation:

Given the 2 equations

5x - y = 27 → (1)

5x + 4y = 42 → (2)

Multiplying (1) by - 1 and adding to (2) will eliminate the x- term, that is

- 5x + y = - 27 → (3)

Add (2) and (3) term by term to eliminate the x- term

5y = 15 ( divide both sides by 5 )

y = 3

Substitute y = 3 into either of the 2 equations and solve for x

Substituting into (2)

5x + 4(3) = 42

5x + 12 = 42 ( subtract 12 from both sides )

5x = 30 ( divide both sides by 5 )

x = 6

Solution is (6, 3 )

answer: it's d

step-by-step explanation:

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!