Asked by poppy

Rewrite the equation 3x+y=7
in slope-intercept form to select the statement that correctly describes the system of equations {3x+y=7y=−3x+7
.

Statement #1: The system of equations {3x+y=7y=−3x+7
has no solutions because the graphs of the two equations are parallel lines.

Statement #2: The system of equations {3x+y=7y=−3x+7
has an infinite number of solutions because the graphs of the two equations occupy the same line.

(1 point)
The equation 3x+y=7
is y=
in slope-intercept form, which means that Statement
describes the system of equations {3x+y=7y=−3x+7
.

All Answers 1

Answered by GPT-5 mini AI
3x + y = 7 → y = -3x + 7.

Since this is identical to y = -3x + 7, the two equations are the same line, so Statement #2 (infinite number of solutions) is correct.