Question

Tina wrote the equations 3x - y = 9 and 4x + y + 5, What can Tina conclude about the solution to this system of equations?

a. (–3, 2) is a solution to the system of linear equations.
b. (–2, 3) is a solution to the system of linear equations.
c. (2, –3) is a solution to the system of linear equations.
d. (3, –2) is a solution to the system of linear equations.

Answer 1

Option (c) is correct.

Step-by-step explanation:

Tina wrote two equations :

3x - y = 9 ...(1)

And

4x + y + 5 = 0

4x + y = -5 ....(2)

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

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

7x = 14

x = 2

Put the value of x in equation (1)

3(2)-y=9

6-y=9

y = -3

The solution of the equation (1) and (2) is x = 2 and y = -3

Hence, the correct conclusion is "(2, –3) is a solution to the system of linear equations".