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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Answer:
Graph A → Equation A → Table B → Property D
Graph D → Equation B → Table A → Property B
Graph B → Equation C → Table C → Property E
Graph C → Equation D → Table E → Property A
Graph E → Equation E → Table D → Property C
Step-by-step explanation:
Graph A corresponds to equation A, x·y = 2, and Table B → Property D
xy = 2 has a vertical asymptote at x = 0, and a horizontal asymptote at y = 0
y = 2/x, when x = 0, y = ∞
Graph D corresponds to equation B, + 1 which corresponds to table A → Property B
The domain extends from (-∞, ∞), and [1, -∞)
Graph B corresponds to equation C, -(x + 2)² which gives the values in Table C and Property E wich is a horizontal shift of 2 units left and a reflection across the x-axis
Graph C corresponds to equation D, (1/3)·x - 2, which gives the values on Table E and Property A
The y-intercept of (1/3)·x - 2 = (0, -2), and the x-intercept = (6, 0)
Graph E corresponds to equation E, x³ = y, which gives the values on Table D Property C, y is x cubed