Answer:
x = 12
Step-by-step explanation:
In a pair of intersecting lines the vertically opposite angles are equal.
(6x + 7)° = (8x - 17)°
6x + 7 = 8x - 17
Subtract 8x + 7 from both sides:
6x + 7 - (8x + 7) = 8x - 17 - (8x + 7)
(6x - 8x) + (7 - 7) = (8x - 8x) + (-17 - 7)
6x - 8x = -2x:
-2x + (7 - 7) = (8x - 8x) + (-17 - 7)
7 - 7 = 0:
-2x = (8x - 8x) + (-17 - 7)
8x - 8x = 0:
-2x = -17 - 7
-17 - 7 = -24:
-2x = -24
Divide both sides by -2:
![\sf \dfrac{-2x}{-2} = \dfrac{-24}{-2}](https://tex.z-dn.net/?f=%20%5Csf%20%5Cdfrac%7B-2x%7D%7B-2%7D%20%3D%20%5Cdfrac%7B-24%7D%7B-2%7D%20)
![\sf \dfrac{-2}{-2} = 1](https://tex.z-dn.net/?f=%20%5Csf%20%5Cdfrac%7B-2%7D%7B-2%7D%20%3D%201%20)
![\sf x = \dfrac{-24}{-2}](https://tex.z-dn.net/?f=%20%5Csf%20x%20%3D%20%5Cdfrac%7B-24%7D%7B-2%7D%20)
![\sf \dfrac{-24}{-2} = 12](https://tex.z-dn.net/?f=%20%5Csf%20%5Cdfrac%7B-24%7D%7B-2%7D%20%3D%2012%20)
x = 12
First add 27 to 62 so that x=89.......... 89-27=62
Answer:
No solution
Explanation:
the problem 2x+y=2 can be written into slope intercept form by subtracting 2x from both sides. You should now have y= —2x + 2 following the formula y=mx+b. The formulas y= —2x - 1 and y= —2x + 2 now have the same slope but different y-intercepts so the answer CANT be infinitely many. In order to have a single (one) solution, you’d need a similar y- intercept. This being said, you would eliminate “one solution”
Keep in mind:
* Y intercept is b in the formula y=mx+b *