Question 992543: Graph Linear Equations:
(2). Is (4,1) a solution to y=3x-11
(7). Is (-2,5) a solution to 3x+2y=9
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! Graph Linear Equations:
(2). Is (4,1) a solution to y=3x-11
(4,1) means x = 4 and y = 1
y=3x-11
1=3*4-11 ... replace x with 4, replace y with 1
1=12-11
1=1 ... true
Since 1=1 is true, this means y=3x-11 is true when x=4,y=1. So (4,1) is indeed a solution to y=3x-11. Visually, the point (4,1) lies on the line y=3x-11
-------------------------------------------------------------------
(7). Is (-2,5) a solution to 3x+2y=9
(-2,5) means x = -2 and y = 5
3x+2y=9
3(-2)+2(5)=9 ... plug in x = -2 and y = 5
-6+10=9
4=9 ... false
The last equation is false, so the first equation is false when x = -2 and y = 5.
(-2,5) is NOT a solution to 3x+2y=9
The point (-2,5) does NOT lie on the line 3x+2y=9
|
|
|
