Math  /  Algebra

QuestionOne Step Equations with (Positive) Decimals Unique ID: 0270 Score: 2/5 Penalty: 0.5 off
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Find the value of xx in the equation below. 15.9=x1.115.9=x-1.1
Answer Attempt 1 out of 2 x=x= \square Submit Answer

Studdy Solution

STEP 1

1. The equation 15.9=x1.1 15.9 = x - 1.1 is asking us to solve for x x .
2. This is a one-step equation involving decimal numbers.
3. The equation involves basic algebraic operations, specifically addition.

STEP 2

1. Understand the structure of the equation.
2. Isolate the variable x x by performing algebraic operations.
3. Verify the solution by substituting it back into the original equation.

STEP 3

Recognize that the equation is in the form 15.9=x1.1 15.9 = x - 1.1 .
This tells us that x x is decreased by 1.1 1.1 to result in 15.9 15.9 .

STEP 4

To isolate x x , we need to perform the opposite operation of subtraction, which is addition. Add 1.1 1.1 to both sides of the equation:
15.9+1.1=x1.1+1.1 15.9 + 1.1 = x - 1.1 + 1.1

STEP 5

Simplify both sides of the equation:
17.0=x 17.0 = x
Thus, x=17.0 x = 17.0 .

STEP 6

Verify the solution by substituting x=17.0 x = 17.0 back into the original equation:
Substitute x=17.0 x = 17.0 :
15.9=17.01.1 15.9 = 17.0 - 1.1

STEP 7

Simplify the right-hand side:
15.9=15.9 15.9 = 15.9
Both sides are equal, confirming the solution is correct.
Therefore, the solution is:
17.0 \boxed{17.0}

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