Answer: OPTION A
Step-by-step explanation:
The equation of the line in slope-intercept form is:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Where m is the slope and b the y-intercept.
Solve for y from each equation:
![\left \{ {{5y=-4x+7} \atop {10y=-8x+14}} \right.\\\\\left \{ {{y=\frac{-4}{5}x+\frac{7}{5}} \atop {y=\frac{-8}{10}x+\frac{14}{10}}} \right.\\\\\left \{ {{y=\frac{-4}{5}x+\frac{7}{5}} \atop {y=\frac{-4}{5}x+\frac{7}{5}}} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7B5y%3D-4x%2B7%7D%20%5Catop%20%7B10y%3D-8x%2B14%7D%7D%20%5Cright.%5C%5C%5C%5C%5Cleft%20%5C%7B%20%7B%7By%3D%5Cfrac%7B-4%7D%7B5%7Dx%2B%5Cfrac%7B7%7D%7B5%7D%7D%20%5Catop%20%7By%3D%5Cfrac%7B-8%7D%7B10%7Dx%2B%5Cfrac%7B14%7D%7B10%7D%7D%7D%20%5Cright.%5C%5C%5C%5C%5Cleft%20%5C%7B%20%7B%7By%3D%5Cfrac%7B-4%7D%7B5%7Dx%2B%5Cfrac%7B7%7D%7B5%7D%7D%20%5Catop%20%7By%3D%5Cfrac%7B-4%7D%7B5%7Dx%2B%5Cfrac%7B7%7D%7B5%7D%7D%7D%20%5Cright.)
As you can see the slope and the y-intercept of each equation are equal, this means that both are the exact same line. Therefore, you can conclude that the system has infinitely many solutions.
Answer:
Using the equation √4x+15=3√x
How many potential solutions are there?
3
X = miles
Y = inches
1 mile = 63360 inches
Therefore 1X = 63360Y
1 X = X
Awnser:
X = 63360Y
Conversions:
1 foot = 12 inches
1 yard = 3 feet = 36 inches
1 mile = 1760 yards = 5280 feet = 63360 inches