SOLUTION: Hello, Please help! Solve by graphing: y= -3x+3 y= 2(x-2)-3 Thank you

Algebra ->  Graphs -> SOLUTION: Hello, Please help! Solve by graphing: y= -3x+3 y= 2(x-2)-3 Thank you      Log On


   

Question 124560: Hello,
Please help! Solve by graphing:
y= -3x+3
y= 2(x-2)-3
Thank you
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
y=+2%28x-2%29-3 Start with the second equation

y=+2x-4-3 Distribute


y=+2x-7 Combine like terms



So our new system is


y=+-3x%2B3
y=+2x-7


Now let's graph the first equation y=+-3x%2B3 (note: if you need help with graphing, check out this solver)



+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+-3x%2B3%29+ Graph of y=+-3x%2B3



Now let's plot the second graph y=+2x-7


+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+-3x%2B3%2C2x-7%29+ Graph of y=+-3x%2B3 (red) and y=+2x-7 (green)


From the graph, we can see that the two lines intersect at (2,-3). So the solution is x=2 and y=-3