Answer:
x=-9
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−6(x+1)−18=26+4
(−6)(x)+(−6)(1)+−18=26+4(Distribute)
−6x+−6+−18=26+4
(−6x)+(−6+−18)=(26+4)(Combine Like Terms)
−6x+−24=30
−6x−24=30
Step 2: Add 24 to both sides.
−6x−24+24=30+24
−6x=54
Step 3: Divide both sides by -6.
−6x
−6
=
54
−6
x=−9
Answer:
x=−9
Answer:
The slope is -2
y =-2x - 1
Step-by-step explanation:
The slope is -2 or -2/1.
The slope is the change in y over the change in x. The ordered pair is written in the form (x,y) The first number is the x coordinate and the second number is the y coordinate.
(1, -3) (0, -1) The -1 and the -3 are the y coordinates. We subtract these.
-1 -(-3) is the same as
- 1 + 3 which is 2.
(1, -3) (0, 1,) the 1 and the 0 are the x coordinates. We subtract these
0 - 1 is -1
The change in y is 2 and the change in x is -1, so our slope is -2/1 which is the same as -2.
To write the equation we need the slope and the y intercept. We have the slope now. We need to find the y-intercept. We will use the slope and one of the points to find the y-intercept. It does not matter which of the two points (1,-3) or (0,-1). I will use (0,-1)
y = mx + b The b is the y-intercept which is what we are looking for
-1 = -2(0) + b
-1 = 0 + b
-1 = b
y = -2x -1
For this case we have the following equation:
If we add 1 to both sides of the equation we have:
Dividing between 2 on both sides of the equation we have:
The graph of the solution is shown in the attached figure.
Answer:
See attached image
