Graph this system of equations and determine the number of solutions.y=–x–5y=–x+10Click to select points on the graph.-10-8-6-4-2246810-10-8-6-4-2246810xyy=–x–5y=–x+10How many solutions does the system of equations have?no solutioninfinitely many solutionsone solutionSubmit
Question
Graph this system of equations and determine the number of solutions.y=–x–5y=–x+10Click to select points on the graph.-10-8-6-4-2246810-10-8-6-4-2246810xyy=–x–5y=–x+10How many solutions does the system of equations have?no solutioninfinitely many solutionsone solutionSubmit
Solution
To graph the system of equations, you need to plot each equation on the same graph.
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For the first equation y = -x - 5, you can start by plotting the y-intercept which is -5. This means the line crosses the y-axis at -5. The slope of the line is -1, which means for every step to the right on the x-axis, you go one step down on the y-axis.
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For the second equation y = -x + 10, you can start by plotting the y-intercept which is 10. This means the line crosses the y-axis at 10. The slope of the line is -1, which means for every step to the right on the x-axis, you go one step down on the y-axis.
After plotting these two lines, you will notice that they are parallel and do not intersect. Therefore, the system of equations has no solution.
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