20.9k views
3 votes
Solve the linear equation
x/2 + 2y/3 = -1 and x - y/3 = 3​

User Gyoda
by
8.3k points

2 Answers

1 vote
  • x/2+2y/3=-1

Multiply by 6

  • 3x+4y=-6-»eq(1)

And

  • x-y/3=3

Multiply by 3

  • 3x-y=9-»eq(2)

eq(1)-eq(2)

  • 5y=-15
  • y=-3

Then

  • 3x+4(-3)=-6
  • 3x-12=-6
  • 3x=6
  • x=2
User Turtleboy
by
7.4k points
1 vote

From Equation 1


(x)/(2) + (2y)/(3) = - 1


(3x + 4y)/(6) = - 1


3x + 4y = - 6

From Equation 2


x - (y)/(3) = 3


(3x - y)/(3) = 3


3x - y = 9

By eliminating ;;

For that multiply equation 2 by 4

12x - 4y = 36 _(3)

By taking equation (1) and (3)

3x + 4y = -6

12x - 4y = 36

__________

15x = 30

x = 30/15

x = 2

Putting the value of x in 2


3(2) - y = 9


6 - y = 9


6 - 9 = y


-3 = y

So The value of x = 2 and y = -3

User StrangeElement
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories