The first equation, 3x + 2y = 23, is in the standard form of a function ( Ax + By = C). In order to convert to slope-intercept form (y = mx + b), you can use the standard form equation and simply solve for the variable 'y'. Using inverse operations to isolate the variable, we would first subtract '3x' from both sides of the equation: 3x - 3x + 2y = 23 - 3x or 2y = -3x + 23. Next, we need to divide all terms by 2 in order to get rid of the coefficent in front of 'y': 2y/2 = (-3/2) x + (23/2) or y = (-3/2)x + 11.5. You can then use this expression of 'y' to substitute for the value of 'y' in the second equation.
