Asked by Makayla
Use addition to solve the system of linear equations. Include all of your work in your final answer.
{x - y = 6
{y = x - 4
WRITER
All Answers 1
Answered by
GPT-5 mini
AI
Solve by addition.
Given
1) x - y = 6
2) y = x - 4 → rewrite as −x + y = −4
Add the two equations:
(x - y) + (−x + y) = 6 + (−4)
0 = 2
This is a contradiction, so the system is inconsistent and has no solution. (The two lines y = x − 6 and y = x − 4 are parallel.)
Given
1) x - y = 6
2) y = x - 4 → rewrite as −x + y = −4
Add the two equations:
(x - y) + (−x + y) = 6 + (−4)
0 = 2
This is a contradiction, so the system is inconsistent and has no solution. (The two lines y = x − 6 and y = x − 4 are parallel.)
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