You just looked at the graph of this system of equations. Why will the

1.	You just looked at the graph of this system of equations. Why will the lines never intersect? y = –x + 5 y = –x – 3
Answer» We know that if b1/b2 ≠ c1/c2 of an equation then the LINES are INCONSISTENT and they NEVER intersect. Here, in the given two equations: -x - y + 5 _____ eq. (i) -x - y - 3 _____ eq. (II) b1/b2 = -y/-y = 1 c1/c2 = 5/-3 Since 1 ≠ 5/-3, the equations are inconsistent and the lines of the equations will never intersect. Hence, the two equations will not have a solution.

You just looked at the graph of this system of equations. Why will the lines never intersect? y = –x + 5 y = –x – 3

Answer»

We know that if b1/b2 ≠ c1/c2 of an equation then the LINES are INCONSISTENT and they NEVER intersect.

Here, in the given two equations:

-x - y + 5 _____ eq. (i)

-x - y - 3 _____ eq. (II)

b1/b2 = -y/-y = 1

c1/c2 = 5/-3

Since 1 ≠ 5/-3, the equations are inconsistent and the lines of the equations will never intersect.

Hence, the two equations will not have a solution.

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You just looked at the graph of this system of equations. Why will the lines never intersect? y = –x + 5 y = –x – 3

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