Tina's System of Linear Equations

What can Tina conclude about the solution to the system of equations she wrote? Option (c) is correct. Tina can conclude that (2, -3) is a solution to the system of linear equations.

Explanation:

Tina wrote two equations:
  • 3x - y = 9 ...(1)
  • 4x + y + 5 = 0

Adding equation (1) and (2) we get:

3x - y + 4x + y = 9 + 5

7x = 14

x = 2

Putting the value of x in equation (1), we get:

3(2) - y = 9

6 - y = 9

y = -3

Therefore, the solution to the equations is x = 2 and y = -3. Hence, Tina's correct conclusion is that "(2, -3) is a solution to the system of linear equations."

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