
Selena S.
asked 01/22/21Given literal equation: p=8/7pij^3 Solve for j.
How would i solve for j?
2 Answers By Expert Tutors

Bradford T. answered 01/22/21
Retired Engineer / Upper level math instructor
p = (8/7)πj3 ( I'm assuming pi stands for π)
To solve for j, you just need to isolate j to one side of the equal sign. No need to solve for a value of j, since p is still a variable of unknown value.
First divide both sides by (8/7)π which we can do since it is not zero.
p/((8/7)π) = j3
rewriting for clarity
j3 = (7/8)p/π
Now we just need to isolate j by taking the cube root of both sides of the equation:
j = ((7/8)p/π)1/3
if pi is not π, but p and i, then that's a different problem.
Solving for j means getting j by itself, on one side of the equal sign.
Step one: Get rid of the fraction by cross multiplying. Leaving a single line.
7p = 8pij^3
Step two: is to divide the 8 and pi leaving j^3
(7p/8pi) = j^3
Step 3: the inverse of exponents are radicals.
I will leave this final step to you! Hope that’s helps. Let me know if you have any further questions!
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Robert S.
01/22/21