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Solve for z. Assume the equation has a solution for z. {:[16 z+29 z=pz-v],[z=]:}

Solve for z z .\newlineAssume the equation has a solution for z z .\newline16z+29z=pz−v 16 z+29 z=p z-v \newlinez= z=

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Full solution

Q. Solve for z z .\newlineAssume the equation has a solution for z z .\newline16z+29z=pz−v 16 z+29 z=p z-v \newlinez= z=
  1. Combine like terms: Combine like terms in the first equation.\newline16z+29z=(16+29)z16z + 29z = (16 + 29)z\newline45z=pz−v45z = pz - v
  2. Isolate z: Isolate z on one side of the equation by moving pzpz to the left side.\newline45z−pz=−v45z - pz = -v\newlineCombine like terms.\newline(45−p)z=−v(45 - p)z = -v
  3. Combine like terms: Divide both sides by the coefficient of zz, which is (45−p)(45 - p), to solve for zz.\newlinez=−v/(45−p)z = -v / (45 - p)

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