Solving systems by elimination (y=-x+1)(y=4x-14)

y = -x + 1

y = 4x - 14

To solve this system via elimination, we would need to multiply the top equation by 4, and then add both equations.

4(-x + 1)

-4x + 4

Now we're left with two equations:

4y = -4x + 4

y = 4x - 14

Add both equations.

5y = -10

Divide both sides by 5.

Because we have a constant value for y, we can solve for x:

y = -x + 1

-2 = -x + 1

Add x to both sides.

x - 2 = 1

Add 2 to both sides.

5+2x=a

asdasdsaadsaddsasds

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!