Respuesta :


[tex]4x + 3y = - 5 \\ x - 3y = 10 \\ \\ 5x = 5 \\ x = 1 \\ \\ 4 + 3y = - 5 \\ \: \: 3y = - 9 \\ y = - 3 \\ \\ (1 \: - 3)[/tex]

The solution of given system of linear equations are x = 1 and y = -3.

Given system of linear equations are,

                                       [tex]4x+3y=-5 ..........(1)\\\\ -x+3y=-10..............(2)[/tex]

Subtract equation 2 from equation 1.

            [tex]4x+3y-(-x+3y)=-5+10\\ \\ 4x+3y+x-3y=5\\ \\ 5x=5\\ \\ x=5/5=1[/tex]

Substituting value of x in equation 1.

          [tex]4(1)+3y=-5\\ \\ 3y=-5-4=-9\\ \\ y=-9/3=-3[/tex]

Hence, The solution of given system of linear equations are x = 1 and y = -3.

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