Question

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

Answer 1

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

Explanation:

Given: Equations:

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

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

Add Equation (1) + Equation (2),

3x + 4x = 9 + 5

7x = 14 ( Combine like terms )

x = 2 ( Divide both sides by 7 ),

From equation 1:

3(2) - y = 9

6 - y = 9

-y = 9 - 6 ( Subtraction 6 on both sides )

-y = 3

y = - 3 ( Multiplying -1 on both sides )