Need algebra help to solve the following question by system equations

label Algebra
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

Nov 11th, 2015

Thank you for the opportunity to help you with your question!

To ease the solution to the system of equations, we convert all coefficients of x and y to whole numbers by multiplying each term of the equation by the gcd of the denominators.

Hence 3x + 1/4y=-3/4 multiplied by 4 becomes 12x + y = -3 (equation 1)

and  -1/2x + 1/3y=8 multiplied by 6 becomes -3x + 2y = 48   (equation 2)

We shall solve by substitution.

the value of y in equation 1 is y= -3-12x

substituting this value into equation 2 gives

-3x + 2(-3-12x)=48


-3x - 24x=48+6

-27x = 54

x= 54/-27

x= -2

to solve for y we substitute x= -2 into one of the equations say equation 1

12(-2) + y = -3

-24+ y = -3


y = 21

therefore x= -2 and y = 21

Please let me know if you need any clarification. I'm always happy to answer your questions.
Nov 11th, 2015

Did you know? You can earn $20 for every friend you invite to Studypool!
Click here to
Refer a Friend
Nov 11th, 2015
Nov 11th, 2015
Sep 20th, 2017
Mark as Final Answer
Unmark as Final Answer
Final Answer

Secure Information

Content will be erased after question is completed.

Final Answer