## 2x=3y−1 6x−9y=−3 How many solutions does the system have?

Question

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

Lorem ipsum dolor sit amet, consectetur adipiscing elit.Morbi adipiscing gravdio, sit amet suscipit risus ultrices eu.Fusce viverra neque at purus laoreet consequa.Vivamus vulputate posuere nisl quis consequat.

## Answers ( No )

2x= 3y-1

6x-9y= -3

So we can solve in 2 ways.

1-

Substitution

2-Summate 2 equations

The 1st solution:Choose x or y’s congruent in one of the equation and find with residual equation.

2x= 3y-1

6x is three times of 2x so 6x= 3(3y-1)

6x= 9y-36x-9y=-3

9y-3-9y= -30=0

Solution set = (R)

2nd solution;

2x-3y=-1

6x-9y= -3

Multiple the first equation with (-3).

-6x+9y=3

6x-9y=-3

0=0

Solution set= (R)

Hope it helps!

#MissionExam001

2x = 3y−1 (1st)

6x−9y=−3

6x = 9y – 3

divide 3 to both sides

2x = 3y – 1 (2nd)

both equation (1st) and (2nd) is the same

answer

Many infinitely solutions