The correct answer is 105.8
Answer:
x = (-7)/5
Step-by-step explanation:
Solve for x:
3 (x - 6) - 8 x = 5 (2 x + 1) - 2
3 (x - 6) = 3 x - 18:
3 x - 18 - 8 x = 5 (2 x + 1) - 2
Grouping like terms, 3 x - 8 x - 18 = (3 x - 8 x) - 18:
(3 x - 8 x) - 18 = 5 (2 x + 1) - 2
3 x - 8 x = -5 x:
-5 x - 18 = 5 (2 x + 1) - 2
5 (2 x + 1) = 10 x + 5:
-5 x - 18 = 10 x + 5 - 2
Add like terms. 5 - 2 = 3:
-5 x - 18 = 10 x + 3
Subtract 10 x from both sides:
(-5 x - 10 x) - 18 = (10 x - 10 x) + 3
-5 x - 10 x = -15 x:
-15 x - 18 = (10 x - 10 x) + 3
10 x - 10 x = 0:
-15 x - 18 = 3
Add 18 to both sides:
(18 - 18) - 15 x = 18 + 3
18 - 18 = 0:
-15 x = 3 + 18
3 + 18 = 21:
-15 x = 21
Divide both sides of -15 x = 21 by -15:
(-15 x)/(-15) = 21/(-15)
(-15)/(-15) = 1:
x = 21/(-15)
The gcd of 21 and -15 is 3, so 21/(-15) = (3×7)/(3 (-5)) = 3/3×7/(-5) = 7/(-5):
x = 7/(-5)
Multiply numerator and denominator of 7/(-5) by -1:
Answer: x = (-7)/5
Answer:
<u>Slope = 3</u>
Step-by-step explanation:
Slope is calculated as the "Rise/Run" of a straight line. The Rise is the change in the value of y, or the amount y changes per change in x. Run is the change in the x value. A line with a run of 3 and a rise of 9 is calculated as:
Rise/Run = 9/3 or 3
This means that the value of y will increase by 3 for every increase of 1 in the value of 3.
Slope in "m" in the slope-intercept form of a straight line equation: y = mx + b
The line y = 3x + 2 tells us the it has a slope of 3 and intercepts the y axis at x = 2.
Example points (y = 3x + 2)
(0,2)
(1,5)
(4,14)
Note that y changes by 12 when x changes by 4. Rise/Run = 12/4 or 3.
