Solve : 2x+4y= -2 and 3x+7y=4 by substitution method .

The given equations are :2x + 4y = -2or, x + 2y = -1   .....1and,3x + 7y = 4     .....2from 1, we have,x = - 1 - 2y   ....3now, substituting the value of x in 2, we get3-1-2y + 7y = 4-3 -6y + 7y = 4y = 7from 3 , we havex = - 1 - 14 = -15so, x = -15; y = 7 is the solution.

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  • let 2x+4y=-2 be the equation number (1) and3x+7y=4 be equation (2).
  • STEP 1 : express variable x in terms of y in equation (1)
  • :x=(-2-4y)/2 .........(3)
  • STEP 2: Substitute (3) in (2)
  • : 3{(-2-4y)/2} +7y=4
  • : (-6-12y)/2 +7y =4
  • : -3-6y +7y =4
  • : y=7..................(4)
  • STEP 3: Substitute (4) in (3)
  • : x={-2-4(7)}/2
  • ; x= -30/2
  • ; x= -15 therefore the solution is (-15,7)
  • i hope my answer helps u..... all the best....... thumps up please.............

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