Question

Solve the following system of linear equations by addition. Indicate whether the given system of linear equations has one solution, hasno solution, or has an infinite number of solutions. If the system has one solution, find the solution.- 2x + y = 7- 2x + y = -6

Answer 1

Explanations:

Given the system of equations:

- 2x + y = 7 .................................... 1

- 2x + y = -6 .................................. 2

Subtract both equations from each other to have;

-2x-(-2x) + (y-y) = 7 - (-6)

0x = 7 + 6

0x = 13

Divide both sides by 0

0x/0 = 13/0

x = 13/0

x = ∞

This shows that the system of equations has no solution