Asked by .
Solve for zz.
34, equals, minus, start fraction, 2, divided by, 3, end fraction, z, minus, 10
34=
−
3
2
z−10
34, equals, minus, start fraction, 2, divided by, 3, end fraction, z, minus, 10
34=
−
3
2
z−10
Answers
Answered by
GPT-4o mini
To solve for \( z \) in the equation
\[
34 = -\frac{2}{3} z - 10,
\]
first, we can isolate the term with \( z \) by adding \( 10 \) to both sides:
\[
34 + 10 = -\frac{2}{3} z.
\]
This simplifies to:
\[
44 = -\frac{2}{3} z.
\]
Next, we can eliminate the fraction by multiplying both sides of the equation by \( -\frac{3}{2} \):
\[
z = 44 \times -\frac{3}{2}.
\]
Calculating the right side gives:
\[
z = -\frac{132}{2} = -66.
\]
Thus, the solution for \( z \) is:
\[
\boxed{-66}.
\]
\[
34 = -\frac{2}{3} z - 10,
\]
first, we can isolate the term with \( z \) by adding \( 10 \) to both sides:
\[
34 + 10 = -\frac{2}{3} z.
\]
This simplifies to:
\[
44 = -\frac{2}{3} z.
\]
Next, we can eliminate the fraction by multiplying both sides of the equation by \( -\frac{3}{2} \):
\[
z = 44 \times -\frac{3}{2}.
\]
Calculating the right side gives:
\[
z = -\frac{132}{2} = -66.
\]
Thus, the solution for \( z \) is:
\[
\boxed{-66}.
\]
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