skyhighx
skyhighx skyhighx
  • 23-01-2018
  • Mathematics
contestada

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

Respuesta :

MissionExam001
MissionExam001 MissionExam001
  • 23-01-2018
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
Answer Link

Otras preguntas

In the diagram below, AB = 15, DB = 6, BC = 8, and mZB = 90°. What is the perimeter of triangle ADC?
plzz help mi chemists​
2.1 fill in the blanks{a) The volume of a cube of side 1cm is equal to.....m3b) The surface area of a solid cylinder of radius 2 0 cm and height 10.0 cm is equa
Find the value of X. Round to the nearest tenth.
A restaurant holds an anniversary celebration. Of 80 diners who visit during the anniversary celebration, 32 are offered free dessert. What percent of the diner
cheryl wants to buy a bicycle that costs 160$. if she saves 12$ each week, what is the fewest number of weeks she must save in order to buy the bicycle?​
7th Grade math if anyone knows
Which of the following is an example of a feedback loop in the body of the nervous system sends a signal to produce hormones in the body produces adrenaline whe
CIRCUMFERENCE OF A CIRCLE Examples (i) Find the circumference correct to 1 decimal place. C = 2tr 5m
Who is SantaShaktiman?​