Studdy AI Logo
Math  /  Algebra

QuestionWork the problem and type the correct answer into the box below. (round answer to one decimal place) 15.3+x=17.7x=□\begin{array}{l} 15.3+x=17.7 \\ x=\square \end{array}

Studdy Solution

STEP 1

1. The equation 15.3+x=17.7 15.3 + x = 17.7 is asking us to solve for x x .
2. This is a one-step equation with one solution.
3. The equation involves basic algebraic operations, specifically subtraction.

STEP 2

1. Understand 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

The equation 15.3+x=17.7 15.3 + x = 17.7 means that when you add x x to 15.3 15.3 , you get 17.7 17.7 .

STEP 4

To find x x , we need to isolate it. We do this by subtracting 15.3 15.3 from both sides of the equation:
15.3+x−15.3=17.7−15.3 15.3 + x - 15.3 = 17.7 - 15.3

STEP 5

Simplify both sides of the equation:
x=2.4 x = 2.4

STEP 6

Verify the solution by substituting x=2.4 x = 2.4 back into the original equation:
15.3+2.4=17.7 15.3 + 2.4 = 17.7

STEP 7

Simplify the left-hand side:
17.7=17.7 17.7 = 17.7
Both sides are equal, confirming our solution is correct.
Therefore, the solution is:
2.4 \boxed{2.4}

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord