Question

9. Solve. If using rrefon calculator to solve. Write the initial matrix, final matrix, and the solution. 10. Show whether (2,1,0,1) satisfies the system below. The order is (x, y, z, w). x - y + z = -4 2x - 3y + 4z = -15 (5x + y - 2z = 12 x+y+Z+W=4 -x +2y +z = 1 2x + 3y + z-w=6 -2x+y - 22 +2w = -1 11. A truck gets 16 mpg in the city and 22 mpg on the highway. His trip of 254 miles Using 14 gallons of gas. How many gallons were consumed driving in city and driving on the highway? Write the two equations and then solve. Let x represent the number of gallons used in the city. Let y represent the number of gallons used on the highway. Equation 1: Equation 2:

Answer 1

x be no.q gallsons used in city and y be no.q gallons used on highway .: According to question Equation I nt y = 14 equation 2 → 16u+22y = 254 subtract multiply ey- by 22 and from eq (11 164 +22y = 254 22x+22y = 308 - - 6x = - 54 x = 9 Put x = 9 in en 0 g+ y = 14 y=5 in aty a = No. g gallons used 9 No.9 gallons used on highway: y = 5 Ars