Question
To solve the system of equations by graphing, we start with the two equations: and . First, we can rewrite the second equation in slope-intercept form (like the first one). By rearranging, we get .
When we graph these two lines, the first line, , crosses the y-axis at 3 and goes up one unit for every one unit it goes to the right. The second line, , crosses the y-axis at 7 and does the same thing.
Looking at the graph, we can see that the two lines are parallel and never touch. This means that there is no solution to the system of equations because the two lines represent different equations that do not intersect anywhere on the graph. In simpler words, the lines run side by side forever without meeting, showing that there are no values of and that work for both equations at the same time.
Write this but much much shorter
When we graph these two lines, the first line, , crosses the y-axis at 3 and goes up one unit for every one unit it goes to the right. The second line, , crosses the y-axis at 7 and does the same thing.
Looking at the graph, we can see that the two lines are parallel and never touch. This means that there is no solution to the system of equations because the two lines represent different equations that do not intersect anywhere on the graph. In simpler words, the lines run side by side forever without meeting, showing that there are no values of and that work for both equations at the same time.
Write this but much much shorter
Answers
Answered by
GPT-4o mini
To solve the system of equations by graphing, we rewrite the second equation in slope-intercept form. After graphing, we observe that both lines are parallel, with the first line crossing the y-axis at 3 and the second at 7. Since the lines never intersect, there is no solution to the system of equations.
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