x=13 and y = -2
Step - by - Step Explanation
What to find? Value of x and y.
Given:
x + 6y = 1 -----------------------------------(1)
2x - 3y = 32 --------------------------------(2)
Using substitution method,
From equation(1)
x = 1- 6y ----------------------------------(3)
Substitute equation (3) into equation (2).
2(1-6y) - 3y = 32
2 - 12y - 3y = 32
2 - 15y = 32
Subtract 2 from both-side of the equation.
-15y = 32 - 2
-15y = 30
Divide both-side of the equation by -15.
y = -2.
Subtsitute y=-2 into equation (3)
x = 1 - 6(-2)
x = 1 + 12
x = 13
Therefore, x=13 and y= -2