Question

Determine if the ordered pair (8,-3) is a solution to the linear system.

7x+4y=44
3x-y=27

A)yes

B)no, the proposed solution does not result in an equality in one of the two questions

C)no,the proposed solution does not result in an equality for both equations.

Answer 1

Plug in 8 for x and -3 for y in both equations, and see if it makes the equations true.

First equation:

7x + 4y = 44

7(8) + 4(-3) = 44

56 - 12 = 44

44 = 44

The ordered pair works in the first equation.

Second equation:

3x - y = 27

3(8) - (-3) = 27

24 + 3 = 27

27 = 27

The ordered pair works in the second equation too.

Since the ordered pair satisfies both equations, the ordered pair is a solution to the system of equations.

Answer is A)