Zahra wants the equation below to have an infinite number of solutions when the missing number is placed in the box. - 3) + 2x = -(x - 5) + 4 which number should she place in the box? –3 –1 1 3

The answer is -3.

To find this, we simply have to solve the equation and leave only the blank and the parenthesis that it is with on the right side. Then we can divide by the parenthesis. The work for this is done for you below.

(x - 3) + 2x = -(x - 5) + 4 > Distribute the -1 to the parenthesis.

(x + 3) + 2x = -x + 5 + 4 > Simplify

(x + 3) + 2x = -x + 9 > Subtract 2x from both sides

(x + 3) = -3x + 9 > Divide both sides by x + 3

= -3.

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:

need points to ask question

step-by-step explanation: