Choose the constant that could be multiplied by each equation to create a system of equivalent equations with opposite terms.

2x + 3y = 1
5x + 2y = 8

The first equation can be multiplied by 5 and the second equation by 2.
The first equation can be multiplied by –5 and the second equation by –2.
The first equation can be multiplied by –5 and the second equation by 2.

I think it's the third one. Because it will make both equation's x a opposite value (one is positive and one is negative).

Step-by-step explanation:

Because 2x+3y=1*5= 10x+15y=5 and then 5x+2y=8*-2 = -10x+4y=-16 both equations will cancel the Xs out and then you can solve for Y.

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:

answer: it is d

step-by-step explanation: