The sum of two numbers is 38. The greater number is 8 more than the other number. Find each number. Use a system of linear equations to justify your answer
Accepted Solution
A:
Answer:x = 23 and y = 15Let one number be x and another be yThe sum of two numbers is 38x + y = 38x = 38 - yThe greater number is 8 more than the other number.x - y = 8x = 8 + ysolve both equations:8 + y = 38 - yy + y = 38 - 82y = 30y = 15solve for x:x = 8 + yx = 8 + 15x = 23