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

2 answers:

7 0

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

marta [7]3 years ago

3 0

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-3

6x-9y=-3
9y-3-9y= -3
0=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

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