MATH SOLVE

4 months ago

Q:
# The system of equations 3x – 6y = 20 and 2x – 4y = 3 is A. consistent. B. inconsistent. C. independent. D. dependent.

Accepted Solution

A:

Answer:The system is inconsistent because there is no solution. Step-by-step explanation:I'm going to put both of these in slope-intercept form (y=mx+b where m is slope and b is y-intercept).3x-6y=20Solve for y.3x-6y=20Subtract 3x on both sides: -6y=-3x+20Divide both sides by -6: y=(-3/-6)x+(20/-6)Reduce: y=(1/2)x+(-10/3)The slope is 1/2 and the y-intercept is -10/3.2x-4y=3Solve for y.2x-4y=3Subtract 2x on both sides: -4y=-2x+3Divide both sides by -4: y=(-2/-4)x+(3/-4)Reduce: y=(1/2)x+(-3/4)The slope is 1/2 and the y-intercept is -3/4.The lines are parallel so they have no intersection. I know they are parallel because they have the same slope and different y-intercept.The system is inconsistent because there is no solution.