Alexa went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 350 mg of sodium and each frozen dinner has 650 mg of sodium. Alexa purchased twice as many frozen dinners as cans of soup and they all collectively contain 6600 mg of sodium. Write a system of equations that could be used to determine the number of cans of soup purchased and the number of frozen dinners purchased. Define the variables that you use to write the system.

2y = x

7x + 13y = 132

Step-by-step explanation:

Let the number of cans of soup that Alexa purchased is x and that of the frozen dinner is y.

Therefore, from the given conditions we can one system of equations as:

2y = x (1) and

350x + 650y = 6600

⇒ 7x + 13y = 132   (2)

Now, those are the system of equations that can be used to find x and y. (Answer)

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!