Answered

IDNLearn.com offers a comprehensive solution for all your question and answer needs. Ask your questions and receive detailed and reliable answers from our experienced and knowledgeable community members.

Solve the system of the following inequalities − ( + ) = ( − ) + ( + ) + ( + ) = −1

Sagot :

SOLUTION:

Case: System of equations

Given: A pair of equations

Required: To solve the equation by finding the values of (x, y)

Method:

Step 1: First we simplify both equations

Equation 1

− ( + ) = ( − ) +

x - 12y -21 = 4 -2y +4x

Collecting like terms

-21-4 = 4x -x -2y +12y

-25 = 3x +10y

3x + 10y = -25...............equation (1)

Equation 2

( + ) + ( + ) = −1​

6x +24 +20y + 15 = -11

Collecting like terms

6x + 20y = -11 -20-15

6x - 20y = -46

Dividing through by 2

3x - 10y = -23...............equation (2)

Step 2:Use elimination method to solve the equation pair

Equation (1) - (2)

(3x- 3x)+ (10y - (-10y)) = -25 - (-23)

10y + 10y = -25 + 23

20y = -2

Dividing both sides by 20

y= -2/ 20

y= -0.1 OR -1/10

Step 3: Plug y= -0.1 int equation (2)

3x - 10y = -23

3x - 10(-0.1) = -23

3x +1 = -23

3x = -23 -1

3x = -24

Dividing both sides by 3

x= -8

Final answer:

The value of x= -8 and y= -0.1. (-8, -0.1)

Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com has the answers you need. Thank you for visiting, and we look forward to helping you again soon.