How do you solve the following system?: 3x+3y= -7 , 3x − y = 30

1 Answer
Feb 1, 2017

y=-9 1/4, x=6 11/12

Explanation:

3x+3y=-7 -------1

3x-y=30--------2

4y=-37----------------------------------1-2

y=-37/4

y=-9 1/4

substitute y= -37/4 in-------2

3x-(-37/4)=30

3x+37/4=30

3x=30-37/4

3x=120/4-37/4

3x=83/4

multiply both sides by 4

12x=83

x=83/12

x=6 11/12

substitute y=-37/4, x= 83/12 in-------2

3(83/12)-(-37/4)=30

249/12+37/4=30/1

(249+111=360)/12

249/12+111/12=360/12

360/12=360/12