Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

How many solutions are there to this system of equations?

On a coordinate plane, 2 lines have equations y = one-fourth (x minus 4) and y = one-fourth x minus 1.


One solution


No solution


Infinitely many solutions


It cannot be determined without solving.


How Many Solutions Are There To This System Of Equations On A Coordinate Plane 2 Lines Have Equations Y Onefourth X Minus 4 And Y Onefourth X Minus 1 One Soluti class=

Sagot :

Answer:

no solution

Step-by-step explanation:

the solution to a system of equations is at the points of intersection of the 2 lines.

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{4}[/tex] x - 4 ← is in slope- intercept form

with slope m = [tex]\frac{1}{4}[/tex]

y = [tex]\frac{1}{4}[/tex] x - 1 ← is in slope- intercept form

with slope m = [tex]\frac{1}{4}[/tex]

• Parallel lines have equal slopes

then the 2 lines are parallel and never intersect.

Thus the system of equations has no solution