Number of solutions to a system of equations algebraic. how many solutions does the system have? can someone me

A  Exactly 1 solution

Step-by-step explanation:

if we express both equations as y = mx+b

we will see that both equations have different slopes (i.e "m" values are different).

By definition, 2 straight lines of different slopes will intersect at only one location (i.e there is only one solution)

A Exactly one solution

Step-by-step explanation:

Each equation represents a line.

Solve each equation for y.

3x + y = 8

y = -3x + 8    First equation solved for y.

2x + 2y = 8

x + y = 4

y = -x + 4      Second equation solved for y.

The slope of the first equation is -3.

The slope of the second equation is -1.

Since the two equations are of lines and have different slopes, the two lines must intersect at one single point. That point is the solution of the system of equations.

A Exactly one solution

y=mx+b

step-by-step explanation:

m slope, b y-intercept