If \( R C=x+3 \) and \( R A=3 x-3 \), what is the value of \( x ? \) 6 9 3 7

To solve for \( x \) given the equations \( R C = x + 3 \) and \( R A = 3x - 3 \), we need to find a relationship between \( R C \) and \( R A \). Since we don't have any additional information about the relationship between \( R C \) and \( R A \), we can assume that they are equal for the purpose of solving for \( x \). Thus, we set the two equations equal to each other: \[ x + 3 = 3x - 3 \] Now, we will solve for \( x \): 1. Subtract \( x \) from both sides: \[ 3 = 3x - x - 3 \] This simplifies to: \[ 3 = 2x - 3 \] 2. Add 3 to both sides: \[ 3 + 3 = 2x \] This simplifies to: \[ 6 = 2x \] 3. Divide both sides by 2: \[ x = 3 \] Thus, the value of \( x \) is \( \boxed{3} \).