Question

solve the equation hy substituting method:. 3x+2y=2 & 2x-5y-1=0

Answer 1

3x + 2y = 2      ----------------- [ 1 ]

2x - 5y - 1 = 0    --------------- [ 2 ]

From [ 1 ]:

3x + 2y = 2

3x = 2 - 2y

x = 2/3 - 2/3 y  --------------- Sub into equation [ 2 ]

2x - 5y - 1 = 0

2( 2/3 - 2/3 y) - 5y - 1 = 0

4/3 - 4/3 y - 5y - 1 = 0

1/3 - 19/3y = 0

19/3 y = 1/3

19y = 1

y = 1/19  --------------- Sub into equation [ 1 ]

3x + 2y = 2

3x + 2(1/19) = 2

3x + 2/19 = 2

3x = 2 - 2/19

3x = 36/19

x = 12/19

Answer: x = 12/19 and y = 1/19