Answer:
x = 13
y = (-2)
Explanation:
Substitution Method:
х + 6y = 1 and 2х - Зу = 32 are given equations
Step 1:
Name the equation
х + 6y = 1 ...(1)
2х - 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