5x(4 - 2) and 12(x - 1/3)
12(2a - 1/2) and 2(6a - 4)
for what values of x and a are the following expressions equivalent
To find the values of x and a for which the given expressions are equivalent, we need to set them equal to each other and solve for x and a separately.
1. 5x(4 - 2) = 12(x - 1/3)
Simplifying both sides:
10x = 12x - 4
Subtracting 12x from both sides:
-2x = -4
Dividing both sides by -2:
x = 2
Therefore, for this expression to be equivalent, the value of x must be 2.
2. 12(2a - 1/2) = 2(6a - 4)
Expanding both sides:
24a - 6 = 12a - 8
Subtracting 12a from both sides:
12a - 6 = -8
Adding 6 to both sides:
12a = -2
Dividing both sides by 12:
a = -2/12
Simplifying the fraction:
a = -1/6
Therefore, for this expression to be equivalent, the value of a must be -1/6.