Solve for z. Assume the equation has a solution for z. {:[az+17=-4z-b],[z=◻]:}

Isolate z: We are given a system of equations: az + 17 = -4z - b z = ◻ We need to solve for z. Let's start with the first equation and isolate z.Combine like terms: Combine like terms by moving all terms involving z to one side of the equation. az + 4z = -b - 17Factor out z: Factor z out from the left side of the equation. z(a + 4) = -b - 17Solve for z: Solve for z by dividing both sides of the equation by (a + 4). z = (-b - 17) / (a + 4)Value of z: We now have the value of z in terms of a and b. However, we are given that z equals a blank square, which suggests that we should have a specific numerical value for z. Since we do not have the values of a and b, we cannot determine a numerical value for z.

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Solve for
z.
Assume the equation has a solution for
z.

{:[az+17=-4z-b],[z=◻]:}

Solve for $z$ . $\newline$ Assume the equation has a solution for $z$ . $\newline$ $\begin{array}{l} a z+17=-4 z-b \\ z=\square \end{array}$

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Math Problems

Algebra 1

Rearrange multi-variable equations

Full solution

Q. Solve for

z

\newline

Assume the equation has a solution for

z

\newline

\begin{array}{l} a z+17=-4 z-b \\ z=\square \end{array}

Isolate $z$ : We are given a system of equations: $\newline$ $az + 17 = -4z - b$ $\newline$ $z = \square$ $\newline$ We need to solve for $z$ . Let's start with the first equation and isolate $z$ .
Combine like terms: Combine like terms by moving all terms involving $z$ to one side of the equation. $az + 4z = -b - 17$
Factor out $z$ : Factor $z$ out from the left side of the equation. $z(a + 4) = -b - 17$
Solve for z: Solve for z by dividing both sides of the equation by $(a + 4)$ . $\newline$ $z = \frac{-b - 17}{a + 4}$
Value of z: We now have the value of $z$ in terms of $a$ and $b$ . However, we are given that $z$ equals a blank square, which suggests that we should have a specific numerical value for $z$ . Since we do not have the values of $a$ and $b$ , we cannot determine a numerical value for $z$ .