The solution of a system of equations is the place where they cross; the point where both equations are true. find the place on your graph where your two lines intersect.
you should find (2, 3) as the intersection point. this is the solution for the system.
Answer:
Step-by-step explanation:
Given both numbers are greater than 6
Their HCF is 6
Their LCM is 60
The product of the HCF and LCM of two numbers is the same as the product of the numbers themselves.
Let us say those number are 
and 
So, the product of those number is 
Let us factorize
It is given that number should be greater than 6
The possible pairs of number are 
But only 
has LCM as 60.
So those numbers are
The number of multiple-choice questions is 30.
The number of open-response questions is 6.
<h3>What is an equation?</h3>
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 - 9 is an equation.
We have,
Number of multiple choice questions = M
Number of open response questions = N
We can make two equations.
M + N = 36 _______(1)
3M + 5N = 120 ______(2)
From (1) we get,
M = 36 - N ______(3)
Putting (3) in (2) we get,
3(36 - N) + 5N = 120
108 - 3N + 5N = 120
2N = 120 - 108
2N = 12
N = 6
Now,
Putting N = 6 in (3) we get,
M = 36 - 6
M = 30
Thus,
The number of multiple-choice questions and open-response questions is 30 and 6.
Learn more about equations here:
brainly.com/question/17194269
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See the attached picture:
