19) Albert says that the two systems of equations shown have the same solutions. FIRST SYSTEM
6x + y= 2
-x-y=-3
SECOND SYSTEMS
2x-3y = -10
-X-y= -3
A) Agree, because the solutions are the same
B) Agree, because both systems include -x-y= -3
C) Disagree, because the solutions are different
D) Cannot be determined

option A) Agree, because the solutions are the same is correct.

Step-by-step explanation:

FIRST SYSTEM

solving the system

adding the equation

so the system becomes

solve -5y for y

Divide both sides by -5

simplify

subtract 16/5 from both sides

Divide both sides by 6

Therefore, the solution to the FIRST SYSTEM is:

SECOND SYSTEM

solving the system

so the system of equations becomes

solve -5y for y

Divide both sides by -5

Simplify

Divide both sides by 2

Simplify

Therefore, the solution to the SECOND SYSTEM is:

Conclusion:

As both systems of equations have the same solution.

Therefore, we conclude that Albert is right when says that the two systems of equations shown have the same solutions.

Hence, option A) Agree, because the solutions are the same is correct.

answer: given that the roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.

given that there are 345 people in the line, the number of minutes it will take for the 345 persons to get into the roller coaster is given by 345 / 26.67 = 12.94 minutes.

therefore, it will take you 12.94 minutes to get to the front of the line.

step-by-step explanation: