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.
___
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.
You might be interested in
The solution to the system of equations is (x, y) = (10, 14), where x is the number of 3-point questions and y is the number of 5-point questions. The appropriate choice is ...
The test contains 10 three-point questions and 14 five-point questions. (2nd selection)
The test contains 10 three-point questions and 14 five-point questions. (2nd selection)