System of equations

Solve the following system of equations:

2x-5y=4
5x-3y=4

Correct answer:

x =  8/19
y =  -12/19

Step-by-step explanation:

2x−5y=4 5x−3y=4  2⋅ x−5⋅ y=4 5⋅ x−3⋅ y=4  2x−5y=4 5x−3y=4  Pivot:Row1↔Row2 5x−3y=4 2x−5y=4  Row2−52​⋅ Row1→Row2 5x−3y=4 −3.8y=2.4  y=−3.82.4​=−0.63157895 x=54+3y​=54+3⋅ (−0.63157895)​=0.42105263=198​=0.4211  x=198​≐0.421053 y=19−12​≐−0.631579
y=(−0.6316)=−1912​=−0.6316

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