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Question 1205381: Is (4,1) a solution to this system of equations?
9x - 10y=26
3x - 11y=1
Found 3 solutions by ikleyn, MathLover1, math_tutor2020:
Answer by ikleyn(52790)   (Show Source):
You can put this solution on YOUR website! .
To learn it, substitute x= 4, y= 1 into each equation and calculate left side;
then compare with its right side.
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It is ABSOLUTELY UNNECESSARY to solve the system from scratch
to check if the given pair of numbers is the solution, as the other tutor does.
Doing this way only shows/demonstrates that a person who solves it
EITHER does not understand question OR does not know how to answer it properly.
In any case, it is WRONG TEACHING.
Answer by MathLover1(20850)  (Show Source):
Answer by math_tutor2020(3817)  (Show Source):
You can put this solution on YOUR website!
If we want to check if (4,1) is a solution, then we plug x = 4 and y = 1 into both equations to see if we get a true result or not.
Both equations need to be true or else it's not a solution.
Plug the values into the 1st equation.
9x - 10y = 26
9*4 - 10*1 = 26
36 - 10 = 26
26 = 26
We arrive at a true statement, so the 1st equation is true.
Now let's work on the 2nd equation.
3x - 11y = 1
3*4 - 11*1 = 1
12 - 11 = 1
1 = 1
This is true as well.
Both equations are true when x = 4 and y = 1.
We have confirmed that (4,1) is indeed a solution
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