If x-1/3y=3, then the value of 3x-y-6=?
a) 15
b) 9
c) 6
d) 3
e) 0
from x - (1/3)y = 3
3x - y = 9
y = 3x-9
then,
3x - y - 6
= 3x - (3x-9) - 6
= 3
To find the value of 3x - y - 6, we need to substitute x and y into the expression.
Given: x - (1/3)y = 3
Let's solve the given equation for x:
x = 3 + (1/3)y
Now substitute x into the expression 3x - y - 6:
3(3 + (1/3)y) - y - 6
Simplify the expression by distributing the 3:
9 + y - y/3 - y - 6
Combine like terms:
9 - 6 + y - y/3 - y
Combine y terms:
3 - (1/3)y
So, the value of 3x - y - 6 is 3 - (1/3)y.
Therefore, the answer is d) 3.
To find the value of 3x - y - 6, we need to substitute the value of y from the given equation into the expression.
Given: x - (1/3)y = 3
To isolate y, we can multiply both sides of the equation by 3:
3(x - (1/3)y) = 3 * 3
This simplifies to:
3x - y = 9
Now, we substitute this value into the expression 3x - y - 6:
3x - y - 6 = 9 - 6 = 3
Therefore, the value of 3x - y - 6 is 3, which corresponds to option (d).