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7x - 4y =5
8x + y =-11

Solving systems of linear equations by substitution method


Sagot :

7x - 4y = 5 and 8x + y = -11

Transform one equation into its Slope-intercept form (y=mx+b)
8x + y = -11
       y = -8x - 11

Substitute the value of "y" (-8x - 11) as the value of "y" to the other equation.
7x - 4 (-8x - 11) = 5
   7x + 32x + 44 = 5
          39x + 44 = 5
                 39x = 5 - 44
                 39x = -39
                 39x = -39
                 39      39
                     x = -1

Substitute the value of "x" (-1) as the value of "x" to the other equation.
8(-1) + y = -11
    -8 + y = -11
           y = -11 + 8
           y = -3

Solutions: (-1,-3)
                                                                            -KookEin