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Answer:

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Step-by-step explanation:

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Answer:  x= 1 and y =1

Step-by-step explanation:

The given system of equation is :

[tex]5x - 4y = 1-------(1)\\\\2x + 3y = 5----------(2)[/tex]

Multiply 2 to equation (1) and 5 to equation (2) , we get

[tex]10x-8y=2-------------(3)[/tex]

[tex]10x+15y=25-----------(4)[/tex]

Subtracting equation (3) from equation (4), we get

[tex]15y+8y=23\\\\\Rightarrow\ 23y=23\\\\\Rightarrow\ y=1[/tex]

Substitute, the value of y in (1), we get

[tex]5x - 4(1)= 1\\\\\Rightarrow\ 5x=1+4=5\\\\\Rightarrow\ x=\dfrac{5}{5}=1[/tex]

Hence, the solution of the given system is (x,y) = (1,1)