x - y = -3 and x - y = 4?

Question

slove the system by graphing. What are ny graphing points?

Answer 1

Hey there!

I can't solve the system by graphing in this website. However, I'll solve system by a different method.

Here's the answer.

x-y=-3 --> Write the first equation.
x=y-3 --> Add y on both sides of the equation.
x-y=4 --> Write the second equation.
y-3-y=4 --> Substitute y-3 for x.
y-y-3=4 --> Gather the y terms together and the constant terms together.
-3=4 Cancel out the y terms.

Since -3 does not equal to 4, the answer is no solution and is also false. When a system has a false solution, the lines of the graph are parallel and do not intersect.

Hope it helps!

Answer 2

Reading some of the responses, people just seem to blurt out the answer.. not realizing if the person asking the question might have no idea what steps have been taken. I am going to outline how to go about solving a problem like this.

First, you have two equations. x - y = -3 and x - y = 4

You have to set BOTH of these equations into the "y=mx+b" format.

This is how that is done with the first equation:

1). x - y = -3
+y +y
x = y -3
+3 +3
x + 3 = y ----> or y = x + 3 (this resembled y = mx+b)

"mx" is the slope, and "b" is the y-intercept (or what the y point is, when x is 0).

So your slope is: 1/1
This is because there is nothing in front of "x" term, when in the absense of the "m" or a number next to the "x".. the slope is always 1/1.

Your y-intercept is: 3

2). x - y = 4
+y +y
x = y +4
-4 -4
x - 4 = y ----> or y = x - 4 (this resembled y = mx+b)

"mx" is the slope, and "b" is the y-intercept (or what the y point is, when x is 0).

So your slope is(again): 1/1
This is because there is nothing in front of "x" term, when in the absense of the "m" or a number next to the "x".. the slope is always 1/1.

Your y-intercept is: -4

These lines are parallel, because they have the SAME slope (1/1)

The only thing that seperates these lines from being like one another is the y-intercept. If both of the Y intercepts were, let
s say -4, then they would be the SAME line.

The "b" term of y=mx+b, controls the height of the line.

Hope this helps.

yw

Answer 3

This system has no solutions. Think of it intuitively; 'x - y' is some number z. z cannot be equal to -3 and 4!

If you do insist on graphing, rewrite the equations:

y = -x +3 and y= -x +4. Note that both equations represent lines with slope -1. Hence the lines are parallel and do not intersect.

Hope this helps.

Answer 4

The graph is two parallel lines. There is no solution the system is said to be inconsistent.
If you wish to graph the two lines then use (0,-3) and (-3,0) for the first line and (4,0) and (0, -4) for the 2nd line.

Answer 5

x - y = -3 crosses x axis at -3, y axis at 3.

x - y = 4 crosses x axis at 4, y axis at -4.

parallel lines, no solution.

Answer 6

They do not intersect.