To solve this system of equations by elimination, what operation could be used to eliminate the y-variable and find the value of x? 2x − 4y = 6 −3x + 3y = 12

x = -11

Step-by-step explanation:

The given system of the equations is

2x - 4y = 6 -------(1)

-3x + 3y = 12 --------(2)

To eliminate the variable y, multiply equation 1 by 3 and multiply equation 2 by 4 and add them

3(2x - 4y) + 4(-3x + 3y) = 6×3 + 12×4

6x - 12y - 12x + 12y = 18 + 48

-6x = 66

x = -

x = -11

Therefore, value of x is (-11).

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:

- (2, -7)

- lines r and s and lines t and u must be parallel