Question

1.Consider the system of equations. x-5y=2

3x-10y=11

(a) Jamar rewrote the first equation as –2x + 10y = –4. What justification did he have for doing this?

(b)Jamar combined the equation in Part (a) with the second equation in the system to get x = 7. Explain Jamar’s reasoning.

(c) What is the solution of the system? (d) How do you know, without graphing, that the graph of 4x – 15y = 13 passes through the point whose coordinates are the solution of the system?

Answer 1

1.Consider the system of equations. x-5y=2
3x-10y=11

(a) Jamar rewrote the first equation as –2x + 10y = –4. What justification did he have for doing this?

(b)Jamar combined the equation in Part (a) with the second equation in the system to get x = 7. Explain Jamar’s reasoning.

(c) What is the solution of the system? (d) How do you know, without graphing, that the graph of 4x – 15y = 13 passes through the point whose coordinates are the solution of the system?