SOLUTION: I have to solve for an order of pairs. I always miss this type of question. x+9y=5 x=6-9y the solution is ? (type an order of pair

Question 348531: I have to solve for an order of pairs. I always miss this type of question.
x+9y=5
x=6-9y
the solution is ? (type an order of pair
Found 2 solutions by Fombitz, nyc_function:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
1.
2.
Use the substitution method.
Substitute eq. 2 directly into eq. 1 for x and find y.

Your equations lead to an inconsistency.
There is no solution.
These are two parallel lines that never meet, so there is no intersection (solution).

Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
To type an ordered pair means to give the answer in the form of a point (x,y).

The ordered pairs are the letters x and y in the point (x,y).

Understand?

x+9y = 5...EQUATION A
x = 6-9y...EQUATION B

As you can see, EQUATION B tells us that we can replace x in EQUATION A with
6 - 9y to see if we can solve for y.

x+9y = 5...EQUATION A

Let x = 6 - 9y and solve for y.

6 - 9y + 9y = 5

I see a problem right away!!

Notice that both y letters (one is positive and the other negative) cancel each other out leaving us with 6 = 5 which makes no sense.

Right away I know that this system of linear equations has NO SOLUTION.

Since there is no solution, we cannot give x and y a value in the point (x,y).

FINAL ANSWER: NO SOLUTION

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