SOLUTION: solve by elimination 2x-5y=4 and 3x-2y=4

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Question 928750: solve by elimination
2x-5y=4 and 3x-2y=4

Found 2 solutions by TimothyLamb, MathLover1:
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
2x-5y=4
3x-2y=4
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put the system of linear equations into standard form
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2x-5y=4
3x-2y=4
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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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solution:
x = 1.0909091
y = -0.36363636
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now by elimination:
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2(2x-5y=4)
-5(3x-2y=4)
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4x - 10y = 8
-15x + 10y = -20
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add the two equations:
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-11x = -12
x = 12/11
x = 1.0909091
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3x - 2y = 4
2y = 3x - 4
y = (3x - 4)/2
y = (3*1.0909091 - 4)/2
y = -0.36363636
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solution by elimination:
x = 1.0909091
y = -0.36363636
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Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
2x-5y=4.......eq.1....both sides multiply by 3
3x-2y=4.......eq.2....both sides multiply by -2
____________________________
6x-15y=12.......eq.1
-6x%2B4y=-8.......eq.2
____________________..............add
6x-15y%2B%28-6x%2B4y%29=12%2B%28-8%29
cross%286x%29-15y-cross%286x%29%2B4y=12-8
-11y=4
y=4%2F-11
y=-4%2F11
now find x
2x-5y=4.......eq.1
2x-5%28-4%2F11%29=4
2x%2B20%2F11=4
2x=4-20%2F11
2x=44%2F11-20%2F11
2x=24%2F11
x=%28cross%2824%2912%2F11%29%2Fcross%282%29
x=12%2F11
so, intersection point is: (12%2F11,-4%2F11) or as decimal (1.1,-0.4)