Midnighteverest84idn
Answered

Find the best answers to your questions with the help of IDNLearn.com's knowledgeable users. Ask your questions and receive prompt, detailed answers from our experienced and knowledgeable community members.

solve this system of linear equations. separate x and y values with a comma. 7x=-67-11y 5x=-73-11y​

Sagot :

Heatheridn

Answer:

3, -8

(x is equal to 3 and y is equal to -8)

Step-by-step explanation:

The system:

{ 7x=-67-11y

{ 5x=-73-11y​

Finding a value for x:

7x=-67-11y -> x = [tex]-\frac{67}{7}[/tex] - [tex]\frac{11y}{7}[/tex]

Solving for y by plugging in our x:

[Equation] 5x = -73 -11y​

[Plug-in] 5([tex]-\frac{67}{7}[/tex] - [tex]\frac{11y}{7}[/tex]) = -73 -11y​

[Distribute the 5] [tex]-\frac{335}{7}[/tex] - [tex]\frac{55y}{7}[/tex] = -73 -11y​

[Multiply by 7] 7 ([tex]-\frac{335}{7}[/tex] - [tex]\frac{55y}{7}[/tex]) = (-73 -11y​) 7

[Simplify] -335 - 55y = -511 - 77y

[Add 335 and 77y to both sides] 22y = -176

[Divide by 22] y = -8

Plug in our y to solve for x:

5x = -73 -11y​

5x = -73 -11(-8)

5x = -73 + 88

5x = 15

x = 3

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Your questions deserve reliable answers. Thanks for visiting IDNLearn.com, and see you again soon for more helpful information.