How many soultions does the system of equations have
1 answer:
Answer:
<h2>C. infinity many</h2>Step-by-step explanation:
The slope-intercept form of an equation of a line:
m - slope
b - y-intercept
If the equations have the same slopes and the same y-intercepts, then the system of equations has infinitely many solutions.
If the equations have the same slopes and differences of the y-intercepts, then the system of equations has no solution.
If the equations have different slopes, then the system of equations has one solution.
We have
→ m = -6 and b = 3
and
convert to the slope-intercept form:
<em>subtract 30x from both sides</em>
<em>divide both sides by 5</em>
→ m = -6 and b = 3
<em>We have the same slopes and the same y-intercepts.</em>
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Given:
Number of males = h
Number of females = (h-2)
Total number of visitors = 80
To find:
The value of h.
Solution:
We have,
Number of males = h
Number of females = (h-2)
So, the total number of visitors is:
It is given that the total number of visitors is 80. So,
Divide both sides by 2.
Therefore, the correct option is D.