Question

Tina wrote the equations 3x-y=9 and 4x+y=5. What can Tina conclude about the solution to this system of equations?
(3, 2) is a solution to the system of linear equations.
(-2, 3) is a solution to the system of linear equations.
(2.-3) is a solution to the system of linear equations.
(3,-2) is a solution to the system of linear equations.

Answer 1

Answer:

C. (2,-3) is a solution to the system of linear equations

Step-by-step explanation:

3x - y = 9

4x + y = 5

---------------add

7x = 14

x = 14/7

x = 2

3x - y = 9

3(2) - y = 9

6 - y = 9

-y = 9 - 6

-y = 3

y = -3

Answer 2

Answer:

Option (C)

Step-by-step explanation:

Solve by Graphing:

Use a graphing tool to graph the lines 3x-y=9 and 4x+y=5.

When graphed, the lines intercept at (2,-3).

Therefore, Tina can conclude that (2,-3) is a solution to the system of linear equations.