Cesar bought 2 bottles of juice that each hold 2 quarts and another bottle that holds 1 1/2 gallons of juice how many quarts of juice did he buy

Answer:

Line A and B are parallel

Step-by-step explanation:

We need to put these lines on a Graph to easily see which lines are parallel or perpendicular. To do this first we need to turn these equations into slope-intercept form (y=mx*b). At the bottom, I'll tell you where you can find more about this form.

To do this using a tool, you can search 'Graph Calculator' and using one of the graph creators, type the equations.

To do this by hand, you can isolate the Y term to the left side of the equation.

Line A: y = 3/5x + 1

Line B: 5y = 3x - 2

---> 5y / 5 = (3x - 2) /5

---> y = y = 3/5x + 1

Line C: 10x -6y =-4

---> 10x -6y -10x = -4 -10x

---> -6y / -6 = (-4 - 10x) / -6z

---> y = 0.666... + 10/6x

---> y = 10/6x + 0.666...

Here's how the graph looks after adding the lines. (Attachment below)

A is blue, B is green, and C is Purple.

Now you can see that the Line A and B are parallel. This is because if you look at the slope of these lines, they are both 3/5 (y = 3/5x + 1 and y = 3/5x + 1 ). This makes them perpendicular since the Y-intercept is different.

Slope intercept form

You can search "intro to slope intercept form" and click on one of the articles and read through if you want to know more about what Slope-intercept form is.

(Sorry I can't explain this very well, I'm also learning about this as well.)

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