SOLUTION: I am using substitution to find coordinates for x and y. Problem reads: 2x+3y=25 , where y=3x+1. I understood that to be 2x+3*(3x+1)=25, Using distributive property, now I have

Algebra ->  Coordinate-system -> SOLUTION: I am using substitution to find coordinates for x and y. Problem reads: 2x+3y=25 , where y=3x+1. I understood that to be 2x+3*(3x+1)=25, Using distributive property, now I have       Log On


   



Question 744087: I am using substitution to find coordinates for x and y. Problem reads: 2x+3y=25 , where y=3x+1.
I understood that to be 2x+3*(3x+1)=25,
Using distributive property, now I have 2x+9x+1=25.
Simplified that to 11x=24, or x=24/11
My textbook shows the correct final answer for coordinates is x=2, y=7, so I am way off. Can you tell where I went wrong?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I am using substitution to find coordinates for x and y.
Problem reads:
2x+3y=25
y = 3x+1
----------------------
I understood that to be 2x+3*(3x+1)=25,
Using distributive property, now I have 2x+9x+3 = 25.
Simplified that to 11x=22, or x = 2
Solve for "y":
y = 3x+1
y = 3*2+1 = 7
========================
My textbook shows the correct final answer for coordinates is x=2, y=7
========================
Cheers,
Stan H.