Solve for f. {:[2+1.25 f=10-2.75 f],[f=◻]:}

Given equation: Start with the given equation. 2 + 1.25f = 10 - 2.75f We want to collect all the f terms on one side and the constant terms on the other side.Move f terms to the left side: Add 2.75f to both sides to move the f terms to the left side. 2 + 1.25f + 2.75f = 10 - 2.75f + 2.75f This simplifies to: 2 + 4f = 10Isolate the term with f: Subtract 2 from both sides to isolate the term with f. 2 + 4f - 2 = 10 - 2 This simplifies to: 4f = 8Solve for f: Divide both sides by 4 to solve for f. 4f / 4 = 8 / 4 This simplifies to: f = 2

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Solve for
f.

{:[2+1.25 f=10-2.75 f],[f=◻]:}

Solve for $f$ . $\newline$ $\begin{array}{l} 2+1.25 f=10-2.75 f \\ f=\square \end{array}$

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Math Problems

Algebra 1

Solve linear equations with variables on both sides

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Q. Solve for

f

\newline

\begin{array}{l} 2+1.25 f=10-2.75 f \\ f=\square \end{array}

Given equation: Start with the given equation. $\newline$ $2 + 1.25f = 10 - 2.75f$ $\newline$ We want to collect all the $f$ terms on one side and the constant terms on the other side.
Move f terms to the left side: Add $2.75f$ to both sides to move the f terms to the left side. $\newline$ $2 + 1.25f + 2.75f = 10 - 2.75f + 2.75f$ $\newline$ This simplifies to: $\newline$ $2 + 4f = 10$
Isolate the term with $f$ : Subtract $2$ from both sides to isolate the term with $f$ .
$2 + 4f - 2 = 10 - 2$
This simplifies to:
$4f = 8$
Solve for f: Divide both sides by $4$ to solve for f. $\newline$ $\frac{4f}{4} = \frac{8}{4}$ $\newline$ This simplifies to: $\newline$ $f = 2$