Which graph represents the solution to the given system?

-2x + 5y = -10 and -3x + 5y = -20

its A

Don't know, but it's a single point. See

http://www.wolframalpha.com/input/?i=solve+-2x+%2B+5y+%3D+-10+,+-3x+%2B+5y+%3D+-20

How would you Describe the graphs of 2x+5y<15 and 3x-y≥ 8?

2x-5y=10

Oh, graphs! I love a good graph. Let me bring out my hilarious drawing skills and explain it to you:

Okay, imagine you have a piece of paper, and on that paper, you draw two lines. One line is a straight line that goes a little bit up from left to right. The other line is a straight line that goes a little more up from left to right.

Now, picture this: these two lines are having a little conversation. The first line says, "Hey, are you the solution to -2x + 5y = -10?" And the second line responds, "No way, I'm the solution to -3x + 5y = -20!"

So, the answer is... where those two lines intersect! It's like their meeting point, their "aha" moment! That's where the solution to the system is.

I hope my hilarious explanation clears things up!

To determine the graph that represents the solution to the given system of equations, we need to solve the system to find the values of x and y that satisfy both equations.

Let's solve the system of equations step by step using the elimination method.

1. Multiply the first equation by 3 and the second equation by 2 to create coefficients for x that will allow for the elimination of x when the equations are subtracted.
- First equation: -2x + 5y = -10 (multiply by 3) => -6x + 15y = -30
- Second equation: -3x + 5y = -20 (multiply by 2) => -6x + 10y = -40

2. Subtract the second equation from the first equation to eliminate x.
- (-6x + 15y) - (-6x + 10y) = -30 - (-40)
Simplifying the equation: 6x - 6x + 15y - 10y = -30 + 40

The x terms cancel out, leaving us with: 5y - 5y = 10
Simplifying further: 0 = 10

3. Analyzing the result: Since 0 does not equal 10, we have an inconsistent system. In other words, there is no solution that satisfies both equations. Therefore, there is no graph representing the solution to this system.

In conclusion, there is no graph that represents the solution to the given system of equations.