Answer:
x = 4
Step-by-step explanation:
Simplifying
3x + 15 = 6x + 3
Reorder the terms:
15 + 3x = 6x + 3
Reorder the terms:
15 + 3x = 3 + 6x
Solving
15 + 3x = 3 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
15 + 3x + -6x = 3 + 6x + -6x
Combine like terms: 3x + -6x = -3x
15 + -3x = 3 + 6x + -6x
Combine like terms: 6x + -6x = 0
15 + -3x = 3 + 0
15 + -3x = 3
Add '-15' to each side of the equation.
15 + -15 + -3x = 3 + -15
Combine like terms: 15 + -15 = 0
0 + -3x = 3 + -15
-3x = 3 + -15
Combine like terms: 3 + -15 = -12
-3x = -12
Divide each side by '-3'.
x = 4
Simplifying
x = 4
FED is 5/4 times bigger than CBA. So, 44×1.25 is 55. 40×1.25 is 50. The perimeter is 125
Answer:
Step-by-step explanation:
To find the equation of a parallel line, we first need to find the slope of 3y + 7 = 2x.
We need to find it because, if two lines are parallel, then that means they have the same slope.
The best way to do this is solve for y:
![3y+7=2x\\3y=2x-7\\y=\frac{2}{3}-\frac{7}{3}](https://tex.z-dn.net/?f=3y%2B7%3D2x%5C%5C3y%3D2x-7%5C%5Cy%3D%5Cfrac%7B2%7D%7B3%7D-%5Cfrac%7B7%7D%7B3%7D)
Due to the rule that in y = mx + b, m = the slope, we find that the slope is 2/3.
Now we use that slope in the same formula to find b of the line we're trying to find the equation for, and then we'll have our answer. We find b by plugging in (2, 6) for x and y:
![y = mx+b\\y=\frac{2}{3}x+b\\6=\frac{2}{3}(2)+b\\18=4+3b\\ 14=3b\\\frac{14}{3} = b](https://tex.z-dn.net/?f=y%20%3D%20mx%2Bb%5C%5Cy%3D%5Cfrac%7B2%7D%7B3%7Dx%2Bb%5C%5C6%3D%5Cfrac%7B2%7D%7B3%7D%282%29%2Bb%5C%5C18%3D4%2B3b%5C%5C%2014%3D3b%5C%5C%5Cfrac%7B14%7D%7B3%7D%20%3D%20b)
So our line is:
![y=\frac{2}{3}x+\frac{14}{3}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B2%7D%7B3%7Dx%2B%5Cfrac%7B14%7D%7B3%7D)