Question

Does the system of equations below have no solution, 1 solution, or infinite solutions

= 2 − 1

= 2 + 4

Answer 1

no solution

Explanation:

y = 2x - 1 → (1)

y = 2x + 4 → (2)

substitute y = 2x - 1 into (2)

2x - 1 = 2x + 4 ( add 1 to both sides )

2x = 2x + 5 ( subtract 2x from both sides )

0 = 5 ← not possible

This indicates the system has no solution