Solve for z. -(11)/(12)z+16=49 Answer: z=

Isolate variable term: Isolate the variable term on one side. We want to get z by itself on one side of the equation. To do this, we will first move the constant term (16) to the other side by subtracting 16 from both sides of the equation. -(11/12)z + 16 - 16 = 49 - 16Simplify equation: Simplify both sides of the equation. After subtracting 16 from both sides, we get: -(11/12)z = 49 - 16 -(11/12)z = 33Solve for z: Solve for z. To solve for z, we need to get rid of the fraction by multiplying both sides of the equation by the reciprocal of -(11/12), which is -12/11. z = 33 * (-12/11)Perform multiplication: Perform the multiplication to find the value of z. Now we multiply 33 by -12/11 to find the value of z. z = 33 * (-12/11) z = -396/11 z = -36

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for
z.

-(11)/(12)z+16=49
Answer:
z=

Solve for $z$ . $\newline$ $-\frac{11}{12} z+16=49$ $\newline$ Answer: $z=$

View step-by-step help

Home

Math Problems

Algebra 1

Solve linear equations: mixed review

Full solution

Q. Solve for

z

\newline

-\frac{11}{12} z+16=49

\newline

Answer:

z=

Isolate variable term: Isolate the variable term on one side. $\newline$ We want to get $z$ by itself on one side of the equation. To do this, we will first move the constant term ( $16$ ) to the other side by subtracting $16$ from both sides of the equation. $\newline$ $-\frac{11}{12}z + 16 - 16 = 49 - 16$
Simplify equation: Simplify both sides of the equation. $\newline$ After subtracting $16$ from both sides, we get: $\newline$ $-(\frac{11}{12})z = 49 - 16$ $\newline$ $-(\frac{11}{12})z = 33$
Solve for z: Solve for z. $\newline$ To solve for z, we need to get rid of the fraction by multiplying both sides of the equation by the reciprocal of $-\frac{11}{12}$ , which is $-\frac{12}{11}$ . $\newline$ $z = 33 \times \left(-\frac{12}{11}\right)$
Perform multiplication: Perform the multiplication to find the value of $z$ . $\newline$ Now we multiply $33$ by $-\frac{12}{11}$ to find the value of $z$ . $\newline$ $z = 33 \times (-\frac{12}{11})$ $\newline$ $z = -\frac{396}{11}$ $\newline$ $z = -36$