Question

The system of equations y = - 2x + 3 and y = xis graphed. What is the solution to the system of equations ?

Answer 1

Answer:

(1,1)

Step-by-step explanation:

we have

$y=-2x+3$ ----> equation A

$y=x$ ----> equation B

we know that

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

The intersection point both graphs is the point (1,1)

see the given graph

therefore

The solution is the point (1,1)

Remember that

if a ordered pair is a solution of a system of equations then the ordered pair must satisfy both equations of the system

Verify

Substitute the value of x=1 and y=1 in each equation and analyze the result

Equation A

$1=-2(1)+3$

$1=1$ ---> is true

so

The ordered pair satisfy the equation A

Equation B

$1=1$ ---> is true

so

The ordered pair satisfy the equation B

therefore

The ordered pair (1,1) is a solution of the system because satisfy both equations

Answer 2

(1,1) is the answer.!