I"m walk to put both of these in slope-intercept form (y=mx+b wherein m is slope and also b is y-intercept).

You are watching: The system of equations 3x – 6y = 20 and 2x – 4y = 3 is

3x-6y=20

Solve for y.

3x-6y=20

Subtract 3x top top both sides:

-6y=-3x+20

Divide both sides by -6:

y=(-3/-6)x+(20/-6)

Reduce:

y=(1/2)x+(-10/3)

The steep is 1/2 and also the y-intercept is -10/3.

2x-4y=3

Solve for y.

2x-4y=3

Subtract 2x on both sides:

-4y=-2x+3

Divide both political parties by -4:

y=(-2/-4)x+(3/-4)

Reduce:

y=(1/2)x+(-3/4)

The steep is 1/2 and also the y-intercept is -3/4.

The lines space parallel for this reason they have actually no intersection. I recognize they are parallel because they have actually the exact same slope and also different y-intercept.

The device is inconsistent since there is no solution.

B) Inconsistent

Step-by-step explanation:

Step 1: write both equations

3x - 6y = 20

2x - 4y = 3

Step 2: discover x in terms of y

3x - 6y = 20

x = 20+6y/3

Step 3: substitute x in among the equations to discover y

2x - 4y = 3

2(20+6y/3) - 5y = 3

40 + 12y - 12y = 9

0 ≠ -31

Therefore, these system of equations have actually no solution.

Step 4: choose the option

A) consistent- A continual system of equations contends least one set of equations. Therefore, this option is incorrect.

B) inconsistent- an inconsistent mechanism of equations has actually no solution. Therefore, this option is correct.

C) Independent- an independent system of equations has one solution. Therefore, this choice is incorrect.

D) Dependent- A dependent system of equations have infinite solutions. Therefore, this alternative is incorrect.

Option B is the right answer

!!

step-by-step explanation: The exactly answer will certainly be d. -4  ### Another concern on Mathematics

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