Х+6y = 1

2 х - Зу = 32

x+6y=12x-3y=32

x = 13

y = (-2)

Step-by-step explanation:

Substitution Method:

х + 6y = 1 and 2 х - Зу = 32 are given equations

Step 1:

Name the equation

х + 6y = 1 ... (1)

2 х - Зу = 32 ... (2)

Step 2:

From equation (1) we get,

x + 6y = 1

x = 1 - 6y

Step 3:

Put the Value of x = 1 - 6y in equation (2) we get,

2 (1 - 6y) - Зу = 32

2 - 12y - 3y = 32

2 - 15y = 32

15y - 2 = - 32

15y = 2 - 32

15y = - 30

y = - 30/15

y = - 2

Step 4:

Then, put the value of y = - 2 in equation (1)

x + 6y = 1

x + 6 (-2) = 1

x - 12 = 1

x = 12 + 1

x = 13

Thus, The value of x is 13 and y is (-2)

Verification:

13 + 6 (-2) = 1 i. e., 13 - 12 = 1

2 (13) - З (-2) = 32 i. e., 26 + 6 = 32