Which best describes the system of equations? y = 4x + 3 y = 2x − 4 a) consistent b) inconsistent c) consistent and dependent d) consistent and independent

D) Consistent and Independent

Step-by-step explanation:

The system of equations,

and

is consistent and independent if

The system is consistent and dependent if

The system is inconsistent if

Now, in the given system

4x - y + 3 = 0 and

2x - y - 4 = 0

So,

Hence, the given system is consistent and independent.

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so:

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: