Question

3x-4y=10 4x-3y=5 by substituting method​

Answer 1

Heya !!!

3X - 4Y = 10 ------(1)

4X - 3Y = 5 --------(2)

From equation (1) we get,

3X- 4Y = 10

3X = ( 10 + 4Y )

X = ( 10 + 4Y/3) ----(3)

Putting the value of X I equation (2)

4X - 3Y = 5

4 × ( 10 + 4Y/3) - 3Y = 5

40 + 16Y/3 - 3Y = 5

16Y - 9Y + 40 = 15

7Y = 15 - 40

Y = -25/7

Putting the value of Y in equation (3)

X = ( 10 + 4Y/3)

X = 10 + 4 × -25/7

= 3

X = 10 - 100 /7

= 3

X = 70 - 100/7

= 3

X = -30/7/3 = -30/7 × 1/3

X = -10/7

Hence,

X = -10/7 and Y = -25/7