Question

fg = 2x, gh = x + 3, and fh = 6, what is fg?
simplify your answer and write it as a proper fraction, mixed number, or integ

Explanation:

Step1: Set up the equation

Since \(FG + GH=FH\), we substitute the given expressions: \(2x+(x + 3)=6\).

Step2: Simplify the left - hand side

Combine like terms: \(2x+x+3 = 6\), which gives \(3x+3 = 6\).

Step3: Solve for \(x\)

Subtract 3 from both sides: \(3x+3-3=6 - 3\), so \(3x=3\). Then divide both sides by 3: \(x=\frac{3}{3}=1\).

Step4: Find \(FG\)

Substitute \(x = 1\) into \(FG = 2x\). So \(FG=2\times1\).

Answer:

\(2\)