1. The difference between two numbers is 10. If three times the larger is added to twice the smaller, the result is 70. Find the two numbers. 2. A farmer has several packages of fertilizer for her new grain crop. The old packages contain 50 pounds of long-term-growth supplement and 60 pounds of herbicide. The new packages contain 65 pounds of long-term-growth supplement and 45 pounds of herbicide. Using her experience, the farmer estimates that she needs 3125 pounds of long-term-growth supplement and 2925 pounds of herbicide for the fields. How many old packages of fertilizer and how many packages of new fertilizer should she use? 3. Check to see if the points provided are solutions to the three-by-three systems. -2x + 5y + Z 8 a ) -1x + 2y + 3z = 13 (3, 2, 4) X + 3y Z 5 x + 2y b) 2x + y 11 11 1I O W P + 1 + (3, -1,1) (3x + 3y 4Z (4x + 3y + 3z 4 C) 3x + 2z 2 (-2,0,4) 2x 5y = -4 Note: In the above system the coefficients of y in the second equation and of z in the third equation are zero, so those terms do not need to be written at all