kascamiller
Answered

Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

what is the answer to this in solving systems by elimination form {2x-3y=9 {-5x-3y=30

Sagot :

braintiktok

Answer:  

Step-by-step explanation:

2x - 3y = 9

    -5x - 3y = 30

For simplicity, let's eliminate the y variable in this system by multiplying the second equation by -1:

            -1·(-5x - 3y = 30)    

  ==>   -1·-5x  -  -1·3y  =  -1·30    

  ==>   5x + 3y = -30

Add this equation to the first original equation:

       2x   -  3y  = 9

  +   5x  +  3y  =  -30  

  __________________

  2x + 5x - 3y + 3y = 9 + -30     ==>     7x  +  0y  =  -21     ==>     7x  =  -21

    7x  =  -21

    7x/7  =  -21/7     ==>     x = -3

Plug this value for x into either of the original equations from the system (I will use the first equation) to solve for y:

    2x - 3y = 9

    2·(-3)  -  3y  =  9

    -6  -  3y  =  9

Add 6 to both sides of the equation:

 -6  +  6  -  3y  =  9  +  6

-3y  =  15

Divide both sides of the equation by -3:

   -/-3  =  15/-3

     y = -5

We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.