How do you solve the following system?: y=2x-3 , 2y=4x+3

1 Answer
Apr 1, 2018

"no solution"

Explanation:

"consider the 2 equations expressed in "color(blue)"slope-intercept form"

•color(white)(x)y=mx+b

"where m is the slope and b the y-intercept"

y=2x-3to(1)

y=2x+3/2to(2)

"both lines have "m=2

• " Parallel lines have equal slopes"

"the 2 lines are therefore parallel and never intersect"

rArr" there is no solution"
graph{(y-2x+3)(y-2x-3/2)=0 [-10, 10, -5, 5]}