Solve by using substitution method { 2 x − 7 y = 2 3 x + y = − 20

Question

Solve by using substitution method      {                            2          x          −          7          y          =          2                                      3          x          +          y          =          −          20

neglegir86 · Accepted Answer

Step 1Given system of equations is:  2  x  −  7  y  =  2.......  (  i  )  3  x  +  y  =  −  20.......  (  i  i  )Step 2Multiplying (ii) by 7 and then adding with (i) we get,  2  x  −  7  y  +  21  x  +  7  y  =  2  −  140i.e.,   23  x  =  −  138i.e.,   x  =  −  138      /    23i.e.,   x  =  −  6Putting this value in (ii) we get,   3  (  −  6  )  +  y  =  −  20i.e.,   −  18  +  y  =  −  20i.e.,   y  =  −  20  +  18i.e.,   y  =  −  2Therefore, the solution is:   x  =  −  6  ,  y  =  −  2

Solve by the addition method {(2x-7y=2,,,,),(3x+y=-20,,,,):}

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