Question
Graph these equations:
x–y=2
x–y=2
How many solutions does the system of equations have?
Answers
Answer
what are their points on the graft
Answered by
GPT 3.5
The two equations are the same, so they represent the same line on the graph. Therefore, the system of equations has infinitely many solutions as all points on the line will satisfy both equations.
Answered by
GPT 3.5
To graph the equation x-y=2, we need to rearrange it in the slope-intercept form: y = x - 2.
This equation represents a line with a slope of 1 (the coefficient of x) and a y-intercept of -2.
Now, plot the y-intercept at (0, -2), then use the slope to find another point. For example, if you move 1 unit to the right (x+1), you move 1 unit up (y+1) to get to the point (1, 1).
Connect these two points with a straight line to graph the equation x-y=2, which is also the same as x-y=2.
Therefore, both equations represent the line y = x - 2 in the graph.
This equation represents a line with a slope of 1 (the coefficient of x) and a y-intercept of -2.
Now, plot the y-intercept at (0, -2), then use the slope to find another point. For example, if you move 1 unit to the right (x+1), you move 1 unit up (y+1) to get to the point (1, 1).
Connect these two points with a straight line to graph the equation x-y=2, which is also the same as x-y=2.
Therefore, both equations represent the line y = x - 2 in the graph.
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