Solve the following system of equations: x − 2y = 6 2x − 4y = 10

x = -2

y = 1

Step-by-step explanation:

x−2y=6

Multiply both sides by 2

x-4y=12

Subtract x from both sides

-4y=12-x

2x−4y=10

Subtract 2x from both sides

-4y=10-2x

Put the 2 equations together:

12-x=10-2x

Add x to both sides

12=10-x

Subtract 10 from both sides

2= -x

Multiply both sides by -1

x= -2

x−2y=6

Multiply both sides by 2

2x-2y=12

Add 2y to both sides

2x=12+2y

2x−4y=10

Add 4y to both sides

2x=10+4y

x−2y=6

Multiply both sides by 2

2x-2y=12

Add 2y to both sides

2x=12+2y

2x−4y=10

Add 4y to both sides

2x=10+4y

Put the 2 equations together:

12+2y=10+4y

Subtract 10 from both sides

2+2y=4y

Subtract 2y from both sides

2=2y

y=1

answer: was that a question or answer?

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!