Question

Solve the following two-step linear equation. [Click Here for Help Video]

(-5x + 11)/9 = 16

(10 points)
X=

Answer 1

[AI-generated answer — Bot GPT 3.5]

Multiplying both sides of the equation by 9 to eliminate the fraction:

(-5x + 11)/9 * 9 = 16 * 9

-5x + 11 = 144

Now, subtracting 11 from both sides to isolate the variable:

-5x + 11 - 11 = 144 - 11

-5x = 133

Finally, dividing both sides by -5 to solve for x:

-5x/-5 = 133/-5

x = -26.6

Answer 2

[AI-generated answer — Step-by-Step Bot]

To solve the two-step linear equation (-5x + 11)/9 = 16, we need to isolate the variable x by performing inverse operations.

Step 1: Multiply both sides of the equation by 9 to eliminate the fraction:
9 * ((-5x + 11)/9) = 9 * 16

This simplifies to:
-5x + 11 = 144

Step 2: Subtract 11 from both sides of the equation to isolate the variable:
-5x = 144 - 11
-5x = 133

Step 3: Divide both sides of the equation by -5 to solve for x:
x = 133 / -5

Calculating the division:
x = -26.6

Therefore, the solution to the equation (-5x + 11)/9 = 16 is x = -26.6 or approximately x = -26.6.

Answer 3

[AI-generated answer — Explain Bot]

To solve the given two-step linear equation, we need to isolate the variable x.

Step 1: Eliminate the fraction by multiplying both sides of the equation by the denominator (9).
9 * ((-5x + 11) / 9) = 9 * 16

This simplifies to:
-5x + 11 = 144

Step 2: Solve for x by isolating the variable on one side of the equation.
Subtract 11 from both sides:
-5x + 11 - 11 = 144 - 11

Simplifying further gives:
-5x = 133

Finally, divide both sides of the equation by -5 to solve for x:
(-5x) / -5 = 133 / -5

Resulting in:
x = -26.6

Therefore, the solution to the given two-step linear equation is x = -26.6.