Please answer this question now
2 answers:
You might be interested in
Answer:
1) b =
2)m = -2.5
3)y = 15
4)x=2
Step-by-step explanation:
- subtract 8b from both sides
- subtract 2 from both sides
- divide both sides by 3
- Substitute this value into the equation and if both sides are equal then it is the solution.
2)Simplifying
7m + 32 = 12 + -1m
Reorder the terms:
32 + 7m = 12 + -1m
Solving
32 + 7m = 12 + -1m
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add 'm' to each side of the equation.
32 + 7m + m = 12 + -1m + m
Combine like terms: 7m + m = 8m
32 + 8m = 12 + -1m + m
Combine like terms: -1m + m = 0
32 + 8m = 12 + 0
32 + 8m = 12
Add '-32' to each side of the equation.
32 + -32 + 8m = 12 + -32
Combine like terms: 32 + -32 = 0
0 + 8m = 12 + -32
8m = 12 + -32
Combine like terms: 12 + -32 = -20
8m = -20
Divide each side by '8'.
m = -2.5
Simplifying
m = -2.5
3)Simplifying
16 + -5y = 1 + -4y
Solving
16 + -5y = 1 + -4y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '4y' to each side of the equation.
16 + -5y + 4y = 1 + -4y + 4y
Combine like terms: -5y + 4y = -1y
16 + -1y = 1 + -4y + 4y
Combine like terms: -4y + 4y = 0
16 + -1y = 1 + 0
16 + -1y = 1
Add '-16' to each side of the equation.
16 + -16 + -1y = 1 + -16
Combine like terms: 16 + -16 = 0
0 + -1y = 1 + -16
-1y = 1 + -16
Combine like terms: 1 + -16 = -15
-1y = -15
Divide each side by '-1'.
y = 15
Simplifying
y = 15
4)Simplifying
2x + -8x + 1 = 9 + -10x
Reorder the terms:
1 + 2x + -8x = 9 + -10x
Combine like terms: 2x + -8x = -6x
1 + -6x = 9 + -10x
Solving
1 + -6x = 9 + -10x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '10x' to each side of the equation.
1 + -6x + 10x = 9 + -10x + 10x
Combine like terms: -6x + 10x = 4x
1 + 4x = 9 + -10x + 10x
Combine like terms: -10x + 10x = 0
1 + 4x = 9 + 0
1 + 4x = 9
Add '-1' to each side of the equation.
1 + -1 + 4x = 9 + -1
Combine like terms: 1 + -1 = 0
0 + 4x = 9 + -1
4x = 9 + -1
Combine like terms: 9 + -1 = 8
4x = 8
Divide each side by '4'.
x = 2
Simplifying
x = 2
Replace x with -3 and add
y = -x+1
y = -( x ) + 1
y = -( -3 ) + 1 .... replace x with -3
y = 3 + 1 ... two negatives cancel to make a positive
y = 4
So the number 4 goes right next to -3. This means the point (x,y) = (-3,4) is on the line. This is shown as point A on the attached image below.
------------------------
Repeat for x = -1
y = -x + 1
y = -( x ) + 1
y = -( -1) + 1 ... replace x with -1
y = 1 + 1
y = 2
So the point (-1,2) is also on the line. This is shown as point B.
-------------------------
Repeat for x = 0
y = -x + 1
y = -0 + 1 ... replace x with 0
y = 1
So (0,1) is on the line. This is point C.
-------------------------
Finally, plug in x = 4
y = -x + 1
y = -4 + 1 ... replace x with 4
y = -3
So (4,-3) is on the line, shown as point D.
-------------------------
After you have at least 2 points plotted on the coordinate grid, you would draw a straight line through those points. Note how points A,B, C, & D are all on the same straight line. The slope of this line is -1 meaning you go down 1 unit each time you move to the right 1 unit. The y intercept is 1, which is where the blue line crosses the y axis.
