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Which represents the solution(s) of the graphed system of equations, y = –x2 + x + 2 and y = –x + 3?

A. (1, 2)
B. (1, 2) and (0, 3)
C. (–1, 0) and (2, 0)
D. (2, 1)

PLEASE HURRY ITS TIMED

Which represents the solutions of the graphed system of equations y x2 x 2 and y x 3 A 1 2 B 1 2 and 0 3 C 1 0 and 2 0 D 2 1 PLEASE HURRY ITS TIMED class=

Respuesta :

calculista

we have that

y = –x²+ x + 2

and

y = –x + 3


we know that


the solution of the system is the point of intersection of both graphs


using a graph tool

see the attached figure


the solution is the point (1,2)


therefore


the answer is the option

A. (1, 2)


Ver imagen calculista

A system of equations to have no real solution, the lines of the equations must be parallel to each other. The correct option is A.

What is a System of equation?

Inconsistent System

A system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

A system of the equation to be Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

A system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.

The solution of a system of equation is the point where all the graphs of the equations intersects. Now as it can be seen in the below function that the graph intersects at (1,2). Therefore, the correct option is A.

Learn more about System of equation:

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