-7=11/17z
I think the answer is z=-17/77 but I don't know. please help and show me if I'm doing it correct or not.
thx
To solve the equation -7 = 11/17z, you can follow these steps:
Step 1: Isolate the variable term. In this case, we want to isolate z. To do this, we need to get rid of the -7 on the left side of the equation. We can do this by adding 7 to both sides:
-7 + 7 = 11/17z + 7
0 = 11/17z + 7
Step 2: Simplify the right side of the equation. We can simplify 11/17z + 7 by subtracting 7 from both sides:
0 - 7 = 11/17z + 7 - 7
-7 = 11/17z
Step 3: To eliminate the fraction, multiply both sides of the equation by the reciprocal of the fraction, which is 17/11:
(-7)(17/11) = (11/17z)(17/11)
-119/11 = z
So, the solution for z is -119/11.
Now let's check if your solution, z = -17/77, is correct:
Substitute z = -17/77 into the equation:
-7 = 11/17 * (-17/77)
-7 = -187/1309
These two sides of the equation are not equal, so z = -17/77 is not the correct solution.
Thus, the correct solution is z = -119/11.
1st step: multiply both sides by 17
-7=11/17z
multiply both sides by 17/11
-7(17/11) = (11/17)(17/11)z
z = -119/11