Graph the system below and write its solution.
1 answer:
Answer:
See the graph attached. It has one solution: (6,-4)
Step-by-step explanation:
The slope-intercept form of a line is:
Where m is the slope and b is the intersection of the line with the y-axis.
Given the first equation
You can identify that:
b=-1
Substitute y=0 to find the intersection with the x-axis
This line passes through the points (0,-1) and (-2,0)
Given the second equation:
Solve for y:
It passes through the point (0,-4).
Now, you can graph. See the figure attached.
It has one solution,which is the point of intersection of both lines: (6,-4)
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Answer:
The argument is true by the law of syllogism
Explanation:
Law of syllogism states that for a valid argument form which is a syllogism having a conditional statement for one or both of its premises.
Premises:
1. If p , then q
2. if q, then r
Conclusion: if p, then r.
Let p be the statement "two angles form a linear pair",
let q be the statement "they are supplementary" and
let r be the statement "the sum of their measures is 180°"
If p, then q
if q, then r
then by the Law of syllogism statement , conclusion if q then r is true,
i,e If two angles form a linear pair, then the sum of their measures is .