Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

PLEASE HELP!!! 100 POINTS!!! EASY!!

Which ordered pair is the solution to the system of equations?

{y=3x−12
4x+6y=−6


(6, −5)

(0, −12)

(3, −3)

(4, −7)

Sagot :

gmany

Answer:

(3, -3)

Step-by-step explanation:

METHOD 1.

Put the coordinates of the given points to the equations and check the equality.

[tex]\left\{\begin{array}{ccc}y=3x-12&(1)\\4x+6y=-6&(2)\end{array}\right[/tex]

for (6, -5)

(1)

-5 = 3(6) - 12

-5 = 18 - 12

-5 = 6   FALSE

for (0, -12)

(1)

-12 = 3(0) - 12

-12 = 0 - 12

-12 = -12    TRUE

(2)

4(0) + 6(-12) = -6

0 - 72 = -6

-72 = -6    FALSE

for (3, -3)

(1)

-3 = 3(3) - 12

-3 = 9 - 12

-3 = -3    TRUE

(2)

4(3) + 6(-3) = -6

12 - 18 = -6

-6 = -6    TRUE

for (4, -7)

(1)

-7 = 3(4) - 12

-7 = 12 - 12

-7 = 0    FALSE

ANSWER: (3, -3)

METHOD 2:

Solve the system of equations:

[tex]\left\{\begin{array}{ccc}y=3x-12&(1)\\4x+6y=-6&(2)\end{array}\right[/tex]

substitute (1) to (2):

[tex]4x+6(3x-12)=-6\qquad|\text{use the distributive property}\\4x+(6)(3x)+(6)(-12)=-6\\4x+18x-72=-6\qquad|\text{add 72 to both sides}\\22x=66\qquad|\text{divide both sides by 22}\\\boxed{x=3}[/tex]

put it to (1):

[tex]y=3(3)-12\\y=9-12\\\boxed{y=-3}[/tex]

[tex]\left\{\begin{array}{ccc}x=3\\y=-3\end{array}\right[/tex]

Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.