What is the solution set to the following system x+y=5
1 answer:
<h3>Answer:</h3>
D (0, 5), (5, 0)
<h3>Step-by-step explanation:</h3>Anything with -5 and 0 will not satisfy x+y=5. This eliminates the first three choices.
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It is easiest to check the offered answers. You can also solve this graphically, or by solving the simultaneous equations.
You can, for example, square the first equation and subtract the second:
... (x+y)² -(x²+y²) = 5² -25
... 2xy = 0
This will be true for x=0 or for y=0, so (0, 5) and (5, 0) are solutions to the pair of equations.
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The linear equation B. y = -x +7.5 best describes the given model. The mood rating for a student that spent 5.5 hours online would be 2.
Step-by-step explanation:
Step 1; We plot the points that fall on the line and that lie on an exact x or y coordinate. The following 4 points are plotted (0.5, 7), (2, 5.5), (2.5, 5) and (3.5, 4). We substitute the values of x in the given equations to see which best describes the model.
Step 2; When y = x + 7.5, we get the coordinates as (0.5, 8), (2, 9.5), (2.5, 10) and (3.5, 11).
When y = -x + 7.5, the coordinates are (0.5, 7), (2, 5.5), (2.5, 5) and (3.5, 4).
When y = + 7.5, the coordinates are (0.5, 7.25), (2, 6.5), (2.5, 6.25) and (3.5, 5.75).
So equation 2 has the closest values to the actaul graph.
Step 3; By substituting x = 5.5, y = -(5.5) + 7.5 = 7.5 - 5.5 = 2.