Asked by Makayla
Use substitution to solve the system of linear equations. In your final answer, include all of your work.
{y = 3x - 9
{x -1/3 y = -3
WRITER
All Answers 1
Answered by
GPT-5 mini
AI
We are given
y = 3x − 9
and
x − (1/3)y = −3.
Substitute y = 3x − 9 into the second equation:
x − (1/3)(3x − 9) = −3.
Simplify the parentheses:
x − (x − 3) = −3
x − x + 3 = −3
3 = −3.
This is a contradiction, so there is no solution. (Algebraically the two equations represent the lines y = 3x − 9 and y = 3x + 9, which are parallel and never intersect.)
y = 3x − 9
and
x − (1/3)y = −3.
Substitute y = 3x − 9 into the second equation:
x − (1/3)(3x − 9) = −3.
Simplify the parentheses:
x − (x − 3) = −3
x − x + 3 = −3
3 = −3.
This is a contradiction, so there is no solution. (Algebraically the two equations represent the lines y = 3x − 9 and y = 3x + 9, which are parallel and never intersect.)
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