What is the answer for both of these questions? I really need help
1 answer:
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The two numbers are 23 and 16 and the method is shown algebraically using simultaneous equations in the photo
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form or
in this problem we have
the point is on the line of direct variation
so
Find the constant of proportionality k
-------> substitute ------>
the equation is
Remember that
If a point is on the line of direct variation
then
the point must satisfy the equation of direct variation
we're proceeding to verify each point
<u>case A)</u> point
Substitute the value of x and y in the direct variation equation
-------> is true
therefore
the point is on the line of direct variation
<u>case B)</u> point
Substitute the value of x and y in the direct variation equation
-------> is true
therefore
the point is on the line of direct variation
<u>case C)</u> point
Substitute the value of x and y in the direct variation equation
-------> is not true
therefore
the point is not on the line of direct variation
<u>case D)</u> point
Substitute the value of x and y in the direct variation equation
-------> is true
therefore
the point is on the line of direct variation
<u>case E)</u> point
Substitute the value of x and y in the direct variation equation
-------> is not true
therefore
the point is not on the line of direct variation
<u>case F)</u> point
Substitute the value of x and y in the direct variation equation
-------> is true
therefore
the point is on the line of direct variation
therefore
<u>the answer is</u>