Solve for z. az + 17 = -4z – b.
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the numerical equation:
az + 17 = -4z- b
Solve for z.
Solution:
In order to solve for z, we simply need to transpose -4z and 17 to the opposite sides of the equation. Hence, we must take note that in transposing a number, the sign changes.
az + 17 = -4z - b
az +4z= -b - 17
Divide both sides by a + 4, in order to cancel out az + 4z
(az + 4z)/a+ 4 = (-b - 17) / a + 4
z + z= (-b - 17)/(a + 4)
2z= (-b - 17)/(a + 4)
Divide both sides by 2 to cancel out 2z
2z/2= (-b - 17)/2(a + 4)
z = (-b - 17)/2(a + 4)
Final answer:
z = (-b - 17)/2(a + 4)