What value of z is a solution to this equation? 3z = 33 Choices: (A)z = 11 (B)z = 12

Identify Operation: Identify the operation needed to solve for z. The equation is 3z = 33, which means we need to isolate z by performing the inverse operation of multiplication, which is division.Divide by 3: Divide both sides of the equation by 3 to solve for z. To isolate z, we divide both sides of the equation by 3, which gives us z = 33 / 3.Perform Division: Perform the division to find the value of z. Calculating 33 / 3 gives us z = 11.Check Solution: Check the solution by substituting z back into the original equation. Substitute z = 11 into the original equation to check if the left side equals the right side: 3 * 11 = 33. This simplifies to 33 = 33, which is true.

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What value of $z$ is a solution to this equation? $\newline$ $3z = 33$ $\newline$ Choices: $\newline$ (A) $z = 11$ $\newline$ (B) $z = 12$

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Math Problems

Grade 7

Which x satisfies an equation?

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Q. What value of

z

is a solution to this equation?

\newline

3z = 33

\newline

Choices:

\newline

(A)

z = 11

\newline

(B)

z = 12

Identify Operation: Identify the operation needed to solve for $z$ . The equation is $3z = 33$ , which means we need to isolate $z$ by performing the inverse operation of multiplication, which is division.
Divide by $3$ : Divide both sides of the equation by $3$ to solve for $z$ . To isolate $z$ , we divide both sides of the equation by $3$ , which gives us $z = \frac{33}{3}$ .
Perform Division: Perform the division to find the value of $z$ . Calculating $33 / 3$ gives us $z = 11$ .
Check Solution: Check the solution by substituting $z$ back into the original equation. $\newline$ Substitute $z = 11$ into the original equation to check if the left side equals the right side: $3 \times 11 = 33$ . This simplifies to $33 = 33$ , which is true.