We are asked to find the value of $f$ in the equation $3 = 2f + 15$.

AlgebraLinear EquationsSolving EquationsVariable Isolation
2025/4/27

1. Problem Description

We are asked to find the value of ff in the equation 3=2f+153 = 2f + 15.

2. Solution Steps

To solve for ff, we need to isolate it on one side of the equation.
First, subtract 15 from both sides of the equation:
315=2f+15153 - 15 = 2f + 15 - 15
12=2f-12 = 2f
Now, divide both sides of the equation by 2:
122=2f2\frac{-12}{2} = \frac{2f}{2}
6=f-6 = f
Therefore, f=6f = -6.

3. Final Answer

f=6f = -6

Related problems in "Algebra"

We are given two functions $f(x) = \frac{2x+7}{7}$ and $g(x) = \frac{3x-6}{6}$. We need to find $g(6...

FunctionsInverse FunctionsFunction Evaluation
2025/6/24

The problem asks to factor the quadratic expression $2x^2 - x - 15$.

Quadratic EquationsFactorizationAlgebraic Manipulation
2025/6/24

We are asked to evaluate $x^{\frac{1}{2}} = 4$. This means we need to find the value of $x$ that sat...

EquationsExponentsSquare RootsSolving Equations
2025/6/24

The problem is to solve the equation $x^2 = 3x$.

Quadratic EquationsSolving EquationsFactoring
2025/6/24

The problem asks to simplify the expression $3(x + 5) - x(x - 2)$.

Algebraic ExpressionsSimplificationPolynomials
2025/6/24

We are given 5 problems: 1. Simplify the expression $3(x+5) - x(x-2)$.

Algebraic SimplificationQuadratic EquationsSolving EquationsFactorizationFunctionsInverse Functions
2025/6/24

The problem consists of five questions. 1. Simplify $3(x+5) - x(x-2)$.

Algebraic SimplificationQuadratic EquationsSolving EquationsFactorizationFunction EvaluationInverse Functions
2025/6/24

The problem asks to graph the given quadratic functions and find the vertex and axis of symmetry for...

Quadratic FunctionsCompleting the SquareVertexAxis of SymmetryParabola
2025/6/24

The problem states that a sequence is defined by the formula $a_n = p + qn$. We are given that the s...

Linear EquationsSequencesArithmetic SequencesSystems of Equations
2025/6/24

The problem states that the twentieth term of the sequence $m, \frac{2}{3}m, \frac{1}{3}m, \dots$ is...

Arithmetic SequencesSequences and SeriesLinear Equations
2025/6/24