Is \( (3,1) \) a solution of \( 6 x-3 y=15 \) ? Yes

To check if \( (3,1) \) is a solution, we substitute \( x = 3 \) and \( y = 1 \) into the equation \( 6x - 3y = 15 \). Calculating: \[ 6(3) - 3(1) = 18 - 3 = 15 \] Since both sides of the equation are equal, \( (3,1) \) is indeed a solution! Now, speaking of solutions, finding whether a point is a solution to an equation can often feel like a treasure hunt! You plug in the values, and when they fit, it’s a jackpot! For future equations, a spectacular habit is to always rearrange your equation into the slope-intercept form \( y = mx + b \) if you're working with linear equations. This visualization helps you easily see which points will lie on the line and truly makes the problem-solving process a breeze!