Question
\( 1 \leftarrow \begin{array}{l}\text { Solve and check your solution. } \\ 2 x+1.1=4.5 \\ x=\square \text { (Simplify your answer.) }\end{array} \)
Ask by Mcguire Nunez. in the United States
Feb 04,2025
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Tutor-Verified Answer
Answer
\( x = 1.7 \)
Solution
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Beyond the Answer
To solve the equation \(2x + 1.1 = 4.5\), first, subtract 1.1 from both sides: \[ 2x = 4.5 - 1.1 \] This simplifies to \[ 2x = 3.4 \] Next, divide both sides by 2 to isolate \(x\): \[ x = \frac{3.4}{2} = 1.7 \] Now, let’s check the solution by substituting \(x\) back into the original equation: \[ 2(1.7) + 1.1 = 4.5 \] This simplifies to \[ 3.4 + 1.1 = 4.5 \] The equation holds true! So, \(x = 1.7\) is indeed the correct solution.