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 yMultiply 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
Learn more about System of Equations at:
brainly.com/question/13168205
brainly.com/question/2115716
brainly.com/question/3739260
#learnwithBrainly