Multiple choice: select the best answer and click "submit."

you need to solve a system of equations. you decide to use the elimination method. which of these is not allowed?
2x – 3y = 12 equation 1
–2x + y = 8 equation 2

a. add equation 2 to equation 1.
b. multiply equation 2 by 3. then subtract the result from equation 1.
c. add the left side of equation 2 to the left side of equation 1.

The correct option is C

Step-by-step explanation:

Given two equations

2x – 3y = 12→   Equation 1

–2x + y = 8→   Equation 2

we need to solve a system of equations to use the elimination method then which option is not allowed.

As in the elimination method we have to eliminate one of the variable by making the coefficients of x and y equal. From all the three options only the option C in which the addition is only done in the left side of both equations which is not possible.

Hence, option C is not allowed.

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.