Solving special systems.

the system has infinitely many solutions

Step-by-step explanation:

Given the expressions

y - 2x = 4 1

2x -y - 4 = 0 2

We are to find the solution to the equation as shown

From equation 1: y = 4+2x

Substitute into 2:

2x - (4+2x) - 4 = 0

2x - 4 - 2x - 4 = 0

0 = 0

This shows that the equation has infinite number of solutions

Let y = k

Get x

Substitute y = k into equation 2

From 2: 2x -y - 4 = 0

2x - k - 4 = 0

2x = k+4

x = (k+4)/2 where k is any integer

Hence the system has infinitely many solutions

i think there was a typo. you wrote pat brings 3 quarts of ice-cream to the party. each serving of ice-cream is 1 6 quart. how many total servings of ice-cream does pat bring to the party? i think the bold is supposed to be 1/6. so 1 quart of ice cream = 6 servings. 6 * 3 = 18.