Question

3x-4y=10;4x+3y=5 solve graphically​

Answer 1

Nice question! Here's a non-graphical situation:

Solving the Equation by Substitution methods.

Given Equations---

 3x -  4y = 10 

 3x = 10 +4y

 x =(10 + 4y)/3 ------------------------------eq(i)

4x + 3y = 5 -------------------------------eq(ii)

Putting the eq(i) in eq(ii),

4[(10 + 4y)/3} + 3y =5

 (40 + 16y)/3 + 3y = 5

 40 + 16y + 9y = 15          [Taking L.C.M.]

 40 + 25y =15

   25y = 15 - 40

       y =-1

Thus, putting y =-1 in eq(ii),

 4x + 3(-1) = 5

 4x - 3 = 5

 4x = 5 + 3

  x = 8/4

  x = 2

Thus, the values of x is 2 and y is -1.