Jorge used a graph to determine a solution to the following system of equations:

Jorge used a graph to determine a solution to the following system of equations: x + y = 92 and y = 3x – 4 Jorge’s answer is (67, 25). Is he correct? Explain how to check if his solution is correct without using a graph.

Step-by-step explanation:

This was the full question:

Jorge used a graph to determine a solution to the following system of equations:

x + y = 92 and y = 3x – 4

Jorge’s answer is (67, 25). Is he correct? Explain how to check if his solution is correct without using a graph.

The answer is in the answer section and it is the sample response

452,489 to the nearest thousand is 452,000

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: