SOLUTION: What is the value of the x variable in the solution to the following system of equations? 2x − 3y = 3 5x − 4y = 4 answer choices: −1 0 x can b

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Question 436588: What is the value of the x variable in the solution to the following system of equations?
2x − 3y = 3
5x − 4y = 4
answer choices:
−1
0
x can be any number as there are infinitely many solutions to this system
There is no x value as there is no solution to this system
Found 2 solutions by shree840, Alan3354:
Answer by shree840(260)   (Show Source): You can put this solution on YOUR website!
2x-3y=3 eq 1 multiply eq 1 by 5
5x-4y=4 eq 2 multiply eq 2 by 2
10x-15y=3
10x-8y=8
------------- subtract line 2 from line 1
-15y+8y=3-8
-7y=-5
y=5/7 substitute this in any eq to get the value of x
ANS
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
What is the value of the x variable in the solution to the following system of equations?
2x − 3y = 3
5x − 4y = 4
--------------
If you sub 0 for x, y = -1 fits both equations, x = 0
If you sub -1 for x, the 1st eqn gives y = -5/3 and the 2nd gives y = -4/9.
--> x = 0
--------------
You can solve for x & y
2x − 3y = 3
5x − 4y = 4
8x - 12y = 12 Eqn 1 times 4
15x- 12y = 12 Eqn 2 times 4
-------------- Subtract
-7x = 0
x = 0
------
y = -1
-----------
answer choices:
−1
0
x can be any number as there are infinitely many solutions to this system
There is no x value as there is no solution to this system
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