Question 167328This question is from textbook
: i really need help with this math problem,
(3,1);{x+3y=6
{4x-5y=7
Tell whether the ordered pair is a solution of the given system
This question is from textbook
Found 2 solutions by Mathtut, jojo14344:
Answer by Mathtut(3670)   (Show Source):
You can put this solution on YOUR website! just plug in the numbers(3,1) is the order pair where the x value is 3 and the y value is 1
3+3(1)=6----->6=6---> so far so good
4(3)-5(1)=7-->7=7
the ordered pair (3,1) is a solution the given system of equations
Answer by jojo14344(1513) (Show Source):
You can put this solution on YOUR website! (3,1);{x+3y=6
{4x-5y=7
Let's see thru Slope-Intercept Form: 
1st eqn: 
 ---> 
 --->  ; y-intercept=1/2
f(y)=0:
 ---> 
Let's see the graph:
 --> POINTS ARE NOT (3,1),
Next, 2nd eqn: 
 ---> 
 -->  -->  , y-intercept=-7/5
f(y)=0:
 ---> 
Let's see the graph:
 --> POINTS ARE NOT (3,1)
So you see, two line eqn's don't have points(3,1)
The question lies, when substitute to both eqn's points (3,1), does it satisfy the condition. Let's see:
1st eqn: --> subst-->
 , good!
2nd eqn:
 , good!
Conclusion, POINTS (3,1) is a solution to both EQNs.
Thank you,
Jojo
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