Question 929962: solve the system by any method.
x = 2y-9
-2x+4y = 18 Found 3 solutions by Fombitz, thejackal, TimothyLamb:Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website! First simplify eq. 2,
Substitute from eq. 1,
True.
Eq. 1 and eq. 2 are the same equation.
Infinite number of solutions.
You can put this solution on YOUR website! since x is defined, use it in equation two.
-2(2y - 9) + 4y = 18
=> -4y + 18 + 4y = 18
=> -4y + 4y = 18 - 18 = 0
y = 0; thus x = -9
You can put this solution on YOUR website! x = 2y-9
-2x+4y = 18
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put the system of linear equations into standard form
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x - 2y = -9
-2x + 4y = 18
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copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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answer:
This linear system is singular. It has no solution
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you can see this by putting the equations in slope-intercept form:
x - 2y = -9
-2x + 4y = 18
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2y = x + 9
4y = 2x + 18
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y = 1/2x + 9/2
y = 2/4x + 18/4
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y = 1/2x + 9/2
y = 1/2x + 9/2
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the two equations are equal
they have an infinite number of solutions
they do not have a unique point of intersection
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