Is the point a solution to the system of equations? explain why or why not. x + y = −3 2x − y = 6 a. (2,−5) b. (1,−4)

In order to determine if the given points are solution to the system of linear equation, we substitute the given values of x and y to the x and y of the equations.

a. (2, -5)
x + y = -3 ;   (2) + (-5) = -3    TRUE
2x - y = 6 ;   (2)(2) - (-5) = 9   FALSE

(2, -5) is not a solution to the system of linear of linear equation because it does not satisfy one of the conditions.

b. (1, -4)
x + y = -3 ;   (1) + (-4)  = -3   TRUE
2x - y = 6 ;   (2)(1) - (-4) = -6  TRUE

(1, -4) is a solution to the system of linear equations because it satisfies for both the given equation.