SOLUTION: I need help to solve each system and show how to graph: Y=2x+1 Y=4x+5 Thank you in advance I tried and when worked I got the following answer -2,3

Algebra ->  Graphs -> SOLUTION: I need help to solve each system and show how to graph: Y=2x+1 Y=4x+5 Thank you in advance I tried and when worked I got the following answer -2,3      Log On


   

Question 922541: I need help to solve each system and show how to graph:
Y=2x+1
Y=4x+5
Thank you in advance
I tried and when worked I got the following answer
-2,3
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Y=2x%2B1............eq.1
Y=4x%2B5............eq.2
___________
since left sides in both eq.1 and eq.2are same, then right sides must be same too
2x%2B1=4x%2B5 .........solve for x
1-5=4x-2x
-4=2x
-4%2F2=x
x=-2
go to
y=2x%2B1............eq.1 plug in x=-2 and solve for y
y=2%28-2%29%2B1
y=-4%2B1
y=-3

solution is: a point of intersection at (-2,-3)

graph it:
for linear function you need two points to graph it
one point is (-2,-3)
go to y=2x%2B1............eq.1 and find one more point
y=2x%2B1....if x=0
y=2%2A0%2B1
y=1
so, second point is (0,1)
do same for second line
one point is (-2,-3)
go to Y=4x%2B5............eq.2 and find one more point
Y=4x%2B5....if x=0
y=4%2A0%2B5
y=5
so, second point is (0,5)

plot these points and draw a lines through: