value of x is [tex]x=\frac{3}{11}[/tex] and value of y is [tex]y=\frac{-7}{11}[/tex]
Step-by-step explanation:
We need to solve the system of equations by elimination
[tex]y=5x-2\,\,\,(1) \\3x-5y=4\,\,\,(2)[/tex]
Solving the systems:
Rearranging equation(1)
[tex]-5x+y=-2[/tex]
Multiply equation(1) with 5 and add with equation 2
[tex]-25x+5y=-10\\\,\,3x-5y=4\\--------\\-22x=-6\\x=\frac{-6}{-22}\\x=\frac{3}{11}[/tex]
So, value of x is [tex]x=\frac{3}{11}[/tex]
Now finding value of y
Multiply eq(1) with 3 and eq(2) with 5 and add both equations
[tex]-15x+3y=-6\\15x-25y=20\\-------\\-22y=14\\y=\frac{14}{-22}\\y=\frac{-7}{11}[/tex]
So, value of y is [tex]y=\frac{-7}{11}[/tex]
Keywords: System of Equations
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