Which of the following ordered pairs are solutions to the system of equations below?
3x+2y=9
Y=4x+10

(1, -6)
(1, 6)
(-1, 6)
(-1, -6)

Respuesta :

The ordered pair (-1, 6) is the solution to the system of equations.

Step-by-step explanation:

Given equations are;

3x+2y=9     Eqn 1

y=4x+10    Eqn 2

Putting value of y from Eqn 2 in Eqn 1

[tex]3x+2(4x+10)=9\\3x+8x+20=9\\11x=9-20\\11x=-11[/tex]

Dividing both sides by 11

[tex]\frac{11x}{11}=\frac{-11}{11}\\x=-1[/tex]

Putting x=-1 in Eqn 2

[tex]y=4(-1)+10\\y=-4+10\\y=6[/tex]

Solution: (-1, 6)

The ordered pair (-1, 6) is the solution to the system of equations.

Answer:

(-1, 6) is the answer

Step-by-step explanation:

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