Given the equation 𝑦 = 3𝑥 − 7, a second equation that will form a system with no solutions is: A. 2𝑦 = 3𝑥 − 4 or B. 2𝑦 = 6𝑥 − 8 or C. 𝑦 = −3𝑥 + 5 or D. 𝑦 = −3𝑥 − 7

Answer 1

B 2y = 6x -8

divide both sides by 2

it is the same as y=3x -4

which is parallel to y=3x-8

they have the same slopes, but a different y intercept

with the same slope they are parallel lines

parallel lines never intersect, there is no (x,y) solution that satisfies both equations