Bridget is on her middle school's basketball team In its last game her team made 31 of its shots. Some of those were free throws, worth 1 point each, and some of those were regular field goals, worth 2 points each. The team didn't make any 3-pointers and finished the game with 49 points. This system of equations can be used to represent the situation: x+y=31 x+2y=49 Which statement is correct? In the system of equations, x represents the number of points scored from free throws, and y represents the number of points scored from field goals. In the system of equations, x represents the number of field goals made, and y represents the number of free throws made. In the system of equations, x represents the number of free throws made. and y represents the number of field goals made. In the system of equations, x represents the number of points scored from field goals, and y represents the number of points scored from free throws. How many points did Bridget's team score from field goals? square

To solve this problem, we need to determine the values of x and y in the system of equations.<br /><br />Given information:<br />- The team made 31 shots in total.<br />- The team scored 49 points in total.<br />- The system of equations is:<br /> x + y = 31<br /> x + 2y = 49<br /><br />Step 1: Solve the system of equations.<br />Subtract the first equation from the second equation to eliminate x:<br />x + 2y - (x + y) = 49 - 31<br />y = 18<br /><br />Substitute y = 18 into the first equation to find x:<br />x + 18 = 31<br />x = 13<br /><br />Therefore, the correct statement is:<br />In the system of equations, x represents the number of free throws made, and y represents the number of field goals made.<br /><br />Step 2: Calculate the number of points scored from field goals.<br />Since y = 18, the number of field goals made is 18.<br /><br />To find the number of points scored from field goals, we need to multiply the number of field goals (y) by the points per field goal (2 points):<br />Points scored from field goals = 18 × 2 = 36<br /><br />Therefore, Bridget's team scored 36 points from field goals.