The work of a student to solve a set of equations is shown: equation a: y = 16 – 2z equation b: 7y = 2 – 4z step 1: –7(y) = –7(16 – 2z) [equation a is multiplied by –7.] 7y = 2 – 4z [equation b] step 2: –7y = 16 – 2z [equation a in step 1 is simplified.] 7y = 2 – 4z [equation b] step 3: 0 = 18 – 6z [equations in step 2 are added.] step 4: 6z = 18 step 5: z = 3 in which step did the student first make an error?

Arectangle with an area of 47 m² is dilated by a factor of 7. what is the area of the dilated rectangle? enter your answer in the box. do not leave your answer as a fraction.

Convert 50 kilogram to pounds. (the conversion factor from kilogram to pound is 2.2046.) a. 52.2 lb. b. 110.2 lb. c. 22.6 lb. d. 47.8 lb.

Look at this system of equations. -3x + 3y = 12 y = x + 4 the solution set of this system is best explained by which of these statements? a) the graphs of the equations are the same line because the equations have the same slope and the same y-intercept. the system has infinitely many solutions. b) the graphs of the equations are parallel lines because they have the same slope but different y-intercepts. the system has no solution. c) the graphs of the equations are lines that intersect at one point because the equations have the same slope but different y-intercepts. the system has exactly one solution. d) the graphs of the equations are lines that intersect at one point because the equations have the same slope and the same y-intercept. the system has exactly one solution.