-3/4x= -5/6
-3/4 + 3/4= -5/6+ 3/4
x= - 1/12
Is this right Please help!
What happened to the x in the second line?
Now you see it, now you don't ?
(-3/4)x= -5/6
(-4/3)(-3/4)x= (-4/3)(-5/6)
x = 20/18
x = 10/9
No.
You need to divide -5/6 by -3/4
-3/4x= -5/6
x = (-5/6) / (-3/4)
x = (-5/6) * (-4/3)
x = 20/18 = 1 1/9
To check if your answer is correct, we can substitute the value of x back into the original equation and see if it satisfies the equation.
Let's start with the original equation:
-3/4x = -5/6
Now, substitute x = -1/12 into the equation:
-3/4 * (-1/12) = -5/6
To multiply fractions, you multiply the numerators (top numbers) and the denominators (bottom numbers):
(3 * 1) / (4 * 12) = -5/6
Simplifying the multiplication:
3/48 = -5/6
To simplify the left side of the equation, divide both the numerator and denominator by their greatest common divisor, which is 3:
(3/3) * (1/48) = -5/6
1/16 = -5/6
As you can see, 1/16 is not equal to -5/6. Therefore, your solution for x = -1/12 is incorrect.
Let's go through the steps again and find the correct solution:
Starting with the equation:
-3/4x = -5/6
To isolate x, we need to divide both sides of the equation by -3/4. When dividing by a fraction, we can multiply by the reciprocal (the flipped version) of that fraction.
So, divide both sides of the equation by -3/4:
(-3/4x) / (-3/4) = (-5/6) / (-3/4)
Simplify this:
x = (-5/6) * (-4/3)
To multiply fractions, multiply the numerators and denominators:
x = (5/6) * (4/3)
Simplify this:
x = 20/18
To simplify the fraction 20/18, divide both the numerator and denominator by their greatest common divisor, which is 2:
x = (20/2) / (18/2)
Simplify this:
x = 10/9
So, the correct solution to the equation -3/4x = -5/6 is x = 10/9.