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

The answer (2, 1), (-4,13), (6,-7)

Step-by-step explanation:

Consider 2x+y=5 as equation 1, and 3y=15-6x as equation 2

1. Substituting values x and y with x=2 and y=1 as given by the coordinates (2,1)

Equation 1

2 (2) + 1=5 therefor it holds

Equation 2

3 (1) = 15 - (6*2) also holds

2. Substituting values x and y with x=6 and y=-7 as given by the coordinates (6,-7)

Equation 1

2 (6) + (-7) = 5

5=5 holds

Equation 2

3 (-7) = 15 - (6*6)

-21=-21 also holds

3. Substituting values x and y with x=-4 and y=13 as given by the coordinates (-4,13)

Equation 1

2 (-4) + 13=13-8=5 holds

Equation 2

3 (13) = 15 - (6*-4) = 39 also holds

4. Substituting values x and y with x=-2 and y=-9 as given by the coordinates (-2,-9)

Equation 1

2 (-2) + (-9) = -4-9=-13≠5 does not hold

Equation 2

3 (-9) ≠15 - (6*-2)

-27≠27 does not hold

The coordinates (2,1), (-4,13) and (6,-7) can be used as solutions to the system given

(6,-7) (2,1) (-4,13)