Question

How many solutions are there to this system of equations?

Answer 1

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 = $\frac{1}{4}$ x - 4 ← is in slope- intercept form

with slope m = $\frac{1}{4}$

y = $\frac{1}{4}$ x - 1 ← is in slope- intercept form

with slope m = $\frac{1}{4}$

• Parallel lines have equal slopes

then the 2 lines are parallel and never intersect.

Thus the system of equations has no solution