How many solutions does this linear system have? y = 2x - 5
-8x – 4y = -20
one solution: (-2.5, 0)
one solution: (2.5, 0)
no solution
infinite number of solutions

one solution: (2.5, 0)

Step-by-step explanation:

These are both lines, with different inclines, which by definition, will have one point in common.

So the first two answers are both candidate to be the right answer. To be sure just pick the easiest point and substitute to see if it is the correct point.

You don't even have to check it in both lines, just one will suffice. (To double check if you are right, you could substitute in the other line also).

Check to see if (2.5, 0) is on y = 2x - 5

so substitute x = 2.5 in y = 2x - 5

y = 2 * 2.5 - 5

y = 5 - 5

y = 0

That confirms the right answer.

EXTRA

You don't even have to check it in both lines, just one will suffice. (To double check if you are right, you could substitute in the other line also).

To double check see if (2.5, 0) is on -8x – 4y = -20

substitute x = 2.5 in substitute x = 2.5 in

substitute x = 2.5 and y =0

-8 * 2.5 - 4 * 0 = -20

-20 - 0 = -20

Since -20 = -20 is a true statement that by definition means the point is on the other line also. In other words, it is confirmed once more.

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.

4 + 5 7/9= 9 7/9

step-by-step explanation: