-2/3z=-4/9
i tried to solve, but i keep on getting the wrong answer, and i do not understand what i am doing wrong. please help.
-2/3z=-4/9
z = -4/9 divided by -2/3
z = -4/9 * -3/2
z = 12/18 = 2/3
Check:
-2/3 * 2/3 = -4/9
ok thank you
You're welcome.
To solve the equation -2/3z = -4/9, we need to isolate the variable z. Here's the step-by-step solution:
Step 1: Multiply both sides of the equation by the reciprocal of the coefficient of z.
Since the coefficient of z is -2/3, the reciprocal is -3/2. Therefore, we multiply both sides of the equation by -3/2:
-2/3z * (-3/2) = -4/9 * (-3/2)
On the left side, the -3/2 cancels out the -2/3, leaving only z:
z = -4/9 * (-3/2)
Step 2: Simplify the right side of the equation:
-4/9 * (-3/2) = 12/18 = 2/3
So the solution to the equation -2/3z = -4/9 is z = 2/3.
If you were getting a different answer, it's possible that you made a mistake while performing the calculations or simplifying the fractions. Make sure to double-check your work at each step to avoid errors.