Solving Systems of Linear Equations: Linear Combinations Answers

What values could A and B be for this system to have no solutions?

Which constants can be multiplied by the equations so one variable will be eliminated when the systems are added together?5x + 13y = 23212x + 7y = 218

What does 0 = 0 indicate about the solutions of the system?

Alvin’s first step in solving the given system of equations is to multiply the first equation by 2 and the second equation by –3. Which linear combination of Alvin’s system of equations reveals the number of solutions to the system?9x + 4y = 366x + 2.5y = 24

During one month of cell phone use, Noah used 200 anytime minutes and 400 text messages, and paid $80.00. The next month, he used 150 anytime minutes and 350 text messages, and paid $67.50. Which statement is true?

What values could A and B be for this system to have no solutions?

number of customersnumber of slices of cheesetotal pounds of cheese✔ cost per pound of cheese

x + y = 13x + y = 55✔ (1/3)x + (1/5)y = 13(1/3)x + (1/5)y = 55

7913✔ 25

Henrique began to solve a system of linear equations using the linear combination method. His work is shown below:3(4x – 7y = 28) → 12x – 21y = 84–2(6x – 5y = 31) → –12x + 10y = –62 12x – 21y = 84+ –12x + 10y = –62 –11y = 22y = –2

Question text not available

The equation that represents the total number of members is[___].