The relation you have shown is not a function.
In order to be a function, a relation's domain must be continuous in that no x-value is not repeated in any of the points. Since the first two points of the relation are (5,1) and (5,3), you can see that they have the same x-value, meaning that this is not a function.
One quick way you could test this is to quickly sketch a graph and use the vertical line test to see if the relation in question is a function. If it cross the vertical line once in all places, it is a function - if it crosses the vertical line more than once in any place, it is not a function.
Answer:
y = -x-3
x-y = -3
x - 2y = 10
Step-by-step explanation:
x − 3y = 6
Slope intercept form is y = mx +b
We need to solve for y
Subtract x from each side
x-x-3y = -x+6
-3y = -x +6
Divide each side by -3
-3y/-3 = -x/-3 +6/-3
y = 1/3 x -2
Standard form is Ax +By = C
y = -x-3
Add x to each side
x-y = -x+x-3
x-y = -3
y = 1/2x -5
We do not like fractions in standard form, so multiply by 2
2y = 2*1/2x -2*5
2y =x-10
Subtract x from each side
-x +2y = x-x-10
-x+2y = -10
We like to have the coefficient on x be positive
Multiply by -1
x - 2y = 10
Answer:
-790
Step-by-step explanation:
Answer:
Y=4 X= -6 or (-6,4)
Step-by-step explanation:
Okay so
3x+10y=22
-3x-8y=-14
- basically, it's like one big equation. First, subtract 3x from -3x which cancels out and gives us 0
- 10y minus 8y gives us 2y.
- 22 minus 14 gives us 8
3x+10y=22
<u>-3x-8y=-14</u>
0+2y=8
Now that we have this, we can solve for y. in order to do this, we have to divide both sides by 2.
From here we know that y=4 because the 2s cancel out leaving y and 8 divided by 2 is 4.
y= 4
Now we can fill in. You can pick any equation for this but I'm going to chose the first one.
3x+10y=22
we can fill in 4 for y
3x+10(4)=22
3x+40=22
Next we are going to subtract 40 on both sides.
3x+40=22
-40 -40
3x= -18
Next, we're going to divide -18 by 3.
The 3s cancel out leaving us x. -18 divided by 3 is -6.
x= -6
Hope this helped!! :)
