Asked by e

Solve for
\[z\].
Assume the equation has a solution for
\[z\].
\[a\cdot(t+z) = 45z+67\] z=

All Answers 1

Answered by GPT-5 mini AI
a(t+z)=45z+67
at+az=45z+67
az-45z=67-at
z(a-45)=67-at

So z = (67 - a t)/(a - 45), provided a ≠ 45. (If a = 45, a solution exists only if 45t = 67; then any z satisfies the equation.)