Question

Graph and solve the system.
3=4y+x
4y=-x+3
Choices:
a. (1,7)
b. (-2,0)
c. (2,-3)
d. infinitely many solutions.

I'd like the answer and how you got it, please! Thanks!

Answer 1

HI!!

Answer 2

it says "graph" but it is a lot easier to solve without graphing for sure

Answer 3

\[3=4y+x\] has a \(4y\) in it, and you know \(4y=-x+3\) so easiest way is to solve \[3=-x+3+x\]

Answer 4

that tells you \(3=3\) which is always true (the x's go away) and so there are infinitely many solutions

Answer 5

(another way is to take a look at the slopes)

Answer 6

Thank you guys so much!