5m - 2n=4
m - 4n = -1
20 3x + 5y = 11
2x - y=3​

Step-by-step explanation:

5m - 2n = 4

 m - 4n = -1     add 4n to both sides   m - 4n + 4n = 4n - 1  

 m = 4n - 1      now substitute for m into the first equation

5(4n -1) - 2n = 4

20n - 5 - 2n = 4           combine the n coeffients  and add 5 to both sides

18n - 5  = 4 + 5

18n  = 9      solve for n      by dividing 18 by both sides

 18 n/18   =  9 /18

      n   =    1/2      now find for m using  m = 4n - 1    m = 4(1/2) - 1   m = 2 -1  = 1

      m  =   1          (1, 1/2)  solves the two equations

3x + 5y = 11      equation 1    

2x - y = 3​          multiply both sides by 5 so when you add the two equation

                         the y term is eliminated  (becomes zero)

5(2x-y) = 5(3)

10x - 5y = 15    equation 2      add equation 1 and equation 2

3x + 5y = 11     add the like terms

10x - 5y = 15    add the like terms

(3x + 10x) + (5y - 5y) = (11 + 15)

   13x        +     0       =    26               the y tern is gone   now solve for x      

   13x = 26

    13x/13  = 26/13

     x = 2                        now find y    using  2x - y = 3

   2x - y = 3         add y and subtract 3 from both sides

   2x - y + (y - 3)  =  3 + (y - 3)

   2x - 3 = y         we already know x = 2

   2(2) - 3 = y

     4 - 3 = y

        1  = y           answer (2,1)   solves the two equaitons

step-by-step explanation:

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step-by-step explanation: