Identify any solutions to the system given below.
2x + y = 5
3y = 15 - 6x
(6.-7)
(2, 1)
o (-2,-9)
(-4, 13)

(6,-7)

(2,1)

(-4,13)

Step-by-step explanation:

we have

-----> equation A

----> equation B

Multiply the equation A by 3 both sides

isolate the variable 3y

-----> equation C

equation B and equation C are equal

That means -----> is the same line

so

The system has infinity solutions

Remember that

If a ordered pair is a solution of the line, then the ordered pair must satisfy the equation of the line

Verify each ordered pair

1) (6,-7)

substitute the value of x and the value of y in the linear equation

---> is true

so

The ordered pair is a solution of the system of equations

2) (2,1)

substitute the value of x and the value of y in the linear equation

---> is true

so

The ordered pair is a solution of the system of equations

3) (-2,-9)

substitute the value of x and the value of y in the linear equation

---> is not true

so

The ordered pair is not a solution of the system of equations

4) (-4,13)

substitute the value of x and the value of y in the linear equation

---> is true

so

The ordered pair is a solution of the system of equations