Which graph represents this system?y=3 x+y=4
2 answers:
Answer:
The graph that represents the system is:
A graph that for y = 3 cuts the axis at point 3 and for x + y = 4 cuts the graph in the coordinates (0, 4), (1, 3), (2, 2), (4, 0) and others that comply with the rule that when added they give a value of 4.
<em>Exact graph as an annex.</em>
Step-by-step explanation:
As you can identify in the graph that is in the annex, the fragment <u>y = 3</u> (differentiated with red color in the graph) refers to the fact that the Y-axis is going to be cut at point 3 with a continuous horizontal line, while the fragment of the system <u>x + y = 4</u> (differentiated with blue color in the graph) refers to all those values of X and Y that when added together give a value of 4, in the answer I have given you the examples that more are denoted in the graph, but you can take others like (5, -1) since if you add them:
- -1 + 5 = 4
The final value of 4 given by the equation is still maintained.
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Therefore, the vertical asymptotes are at x = 3 and x = 6
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Factorising we get,
Therefore, the vertical asymptotes are at x = 3 and x = 6