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QuestionSolve for zz in the equation 2.8=4.8z−5.1z−2.62.8 = 4.8z - 5.1z - 2.6. Express your answer as an integer, fraction, or rounded decimal.

Studdy Solution

STEP 1

Assumptions1. The equation to solve is .8=4.8z−5.1z−.6.8=4.8 z-5.1 z-.6 . The solution should be expressed as an integer, simplified fraction, or decimal rounded to two decimal places.

STEP 2

First, we need to simplify the right side of the equation by combining like terms.
2.8=(4.8z−5.1z)−2.62.8 = (4.8 z -5.1 z) -2.6

STEP 3

Subtract 5.1z5.1z from .8z.8z to simplify the equation.
2.8=−0.3z−2.62.8 = -0.3z -2.6

STEP 4

Next, we isolate the variable zz on one side of the equation. We can do this by adding 2.62.6 to both sides of the equation.
2.8+2.6=−0.3z2.8 +2.6 = -0.3z

STEP 5

Calculate the left side of the equation.
5.4=−0.3z5.4 = -0.3z

STEP 6

To solve for zz, we need to divide both sides of the equation by −0.3-0.3.
z=5.4−0.3z = \frac{5.4}{-0.3}

STEP 7

Calculate the value of zz.
z=5.4−0.3=−18z = \frac{5.4}{-0.3} = -18So, z=−18z = -18 is the solution to the equation.

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