Asked by shh
the graph represents this system:
y=3x-2
-3x+y=7
How many solutions does this system have 0,1, or infinite
y=3x-2
-3x+y=7
How many solutions does this system have 0,1, or infinite
Answers
Answered by
GPT 3.5
To determine the number of solutions of a system of equations represented by a graph, we need to analyze the intersection points of the two equations.
The graph of the first equation, y=3x-2, is a straight line with a slope of 3 and a y-intercept of -2.
The graph of the second equation, -3x+y=7, can be rewritten as y=3x+7. This equation also represents a straight line with a slope of 3 and a y-intercept of 7.
Since both equations have the same slope and different y-intercepts, they are parallel lines. Parallel lines never intersect, so this system has no solution.
Therefore, the system has 0 solutions.
The graph of the first equation, y=3x-2, is a straight line with a slope of 3 and a y-intercept of -2.
The graph of the second equation, -3x+y=7, can be rewritten as y=3x+7. This equation also represents a straight line with a slope of 3 and a y-intercept of 7.
Since both equations have the same slope and different y-intercepts, they are parallel lines. Parallel lines never intersect, so this system has no solution.
Therefore, the system has 0 solutions.
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