A) I included a graph, look below.
B)
Input the y in x = y + 3.
x = (-4x - 3) + 3
x = -4x + 0
Add 4x to both sides.
5x = 0
Divide both sides by 5.
x = 0
Input that x value in y = -4x - 3
y = -4(0) - 3
y = 0 - 3
y = -3
(0, -3)
C)
Convert both equations to Standard Form.
x = y + 3
Subtract y from both sides.
x - y = 3
y = -4x - 3
Add 4x to both sides.
4x + y = -3
Add the equations together.
4x + y = -3
x - y = 3
equals
5x = 0
Divide both sides by 5.
x = 0
Input that into one of the original equations.
0 = y + 3
Subtract 3 from both sides.
-3 = y
(0, -3)
Answer:
y = -x - 1
Step-by-step explanation:
First, we can put the equation into y = mx + b form:
2x + 5y = 10
5y = -2x + 10
y = -x + 2
Now, we know the slope is -. A parallel line will have the same slope.
So, we can plug in the point (-5, 1) into the equation y = -x + b to find b:
1 = -(-5) + b
1 = 2 + b
-1 = b
So, the equation will be y = -x - 1
Answer:
Step-by-step explanation:
<u>Find b first:</u>
- b = 3/x + 3/y
- b = (3x + 3y)/xy
<u>Find 1/b:</u>
- 1/b = 1 : (3x + 3y)/xy
- 1/b = xy / (3x + 3y)