The yearbook staff receive 75 submissions for yearbook articles. Paul will accept 2/5
1 answer:
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Answer:
a. No solution, parallel lines.
b. One solution.
Step-by-step explanation:
Given the system of equations:
a.
b.
To give a geometric description of the given system of equations.
The geometric description of a system of equations in 2 variables mean the system of equations will represent the number of lines equal to the number of equations in the system given.
i.e.
Number of planes = Number of variables
Number of lines = Number of equations in the system.
Here, we are given 2 variables and 2 equation in each system.
So, they can be represented in the xy-coordinates plane.
And the number of solutions to the system depends on the following condition.
Let the system of equations be:
1. One solution:
There will be one solution to the system of equations, If we have:
2. Infinitely Many Solutions: (Identical lines in the system)
3. No Solution:(Parallel lines)
Now, let us discuss the system of equations one by one:
a. OR
OR
Here, the ratio:
Therefore, no solution i.e. parallel lines.
b. OR
OR
So, one solution.
Kindly refer to the images attached for the graphical representation of the given system of equations.
Hope this helps with your questions :)
