SOLUTION: Solve the system of equations using the addition (elimination) method.
If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answe
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Question 98973This question is from textbook Intermediate Algebra
: Solve the system of equations using the addition (elimination) method.
If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is “no solution” or “infinitely many solutions.”
2x – 7y = 3
-4x + 14y = -9
This question is from textbook Intermediate Algebra
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1st: 2x – 7y = 3
2nd: -4x + 14y = -9
------------------------
Multiply 1st by 2 to get:
3rd: 4x -14y = 6
-------------------
Add 2nd and 3rd to get:
0 = -3
===============
This contrdiction occured because we assumed the "x" and the "y"
in the two equations represented,respectively, the same number.
---------------
The "x" in one equation is not the same as the "x" in the other;
same with the "y" variable. Therefore the system is said to be
"inconsistent". The graphs of the two equations are parallel.
There is no solution for the system of equations.
=================
Cheers,
Stan H.
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