Question

Number of solutions to a system of equations algebraic. How many solutions does the system have? Can someone help me please....​

Answer 1

A Exactly one solution

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.

Answer: A Exactly one solution

Answer 2

A Exactly 1 solution

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)