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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=

Respuesta :

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

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