Question

Determine if the point (-5,0) lies on both of the lines in the system of equations by substituting the ordered pair into both equations. 4x+4y=-8 2x+5y=-1

Answer 1

The point (-5, 0) lies on neither of the two lines in the system of equaitons

Explanation:

We can substitute (-5, 0) into both equations by plugging in -5 for x and 0 for y.

Substituting (-5, 0) for x and y in 4x + 4y = 8:

4(-5) + 4(0) = -8

-20 ≠ -8

Thus, (-5, 0) does not lie on 4x + 4y = -8

Substituting (-5, 0) for x and y in 2x + 5y = -1

2(-5) + 5(0) = -1

-10 ≠ -1

Thus, (-5, 0) does not lie on 2x + 5y = -1 either.

Therefore, the point (-5, 0) lies on neither of the two lines.