Answer:
Step-by-step explanation:
you can do these by just looking at the equations and comparing the slopes and the y intercepts.
first, put ur equations in y = mx + b form where m is ur slope and b is ur y intercept. Thankfully, these are already in that form.
second, find ur slopes....they will be in the m position
y = mx + b
y = -x + 4 y = 2x + 3
slope = -1 slope = 2
third, find ur y intercepts....they will be in the b position
y = mx + b
y = -x + 4 y = 2x + 3
y int = 4 y int = 3
fourth, compare the slopes and y int's of equation 1 and equation 2
here are some rules...
if the slope and the y int are different in each equation, then there is only 1 solution
if the slope and y int are the EXACTLY the same in the simplest form of each equation, there is infinite solutions
if the slopes are the same, but the y int's different, there is no solution
so ur 2 equations have different slopes and different y int's.....
therefore, there is only 1 solution <=====
is an equivalent ratio since it simplifies to