164k views
3 votes
5) How many solutions does the following system have?

1.5x + 2y = 11
3x + 6y = 22​

User Lukas Eder
by
7.2k points

1 Answer

3 votes

Answer:

The solution is (
(11)/(1.5),0)

The given system of equations have only one solution

(
(11)/(1.5),0)

Explanation:

Given equations are
1.5x+2y=11\hfill (1)

and
3x+6y=22\hfill (2)​Now to find the number of solutions to the given system:

Multiply the equation (1) into 3 we get


4.5x+6y=33\hfill (3)

Subtracting the equations (2) and (3) we get

4.5x+6y=33

3x+6y=22

__________

1.5x=11


x=(11)/(1.5)

Substitute the value of x in equation (1) we get


1.5((11)/(1.5))+2y=11


11+2y=11

2y=0

Therefore y=0

Therefore the solution is (
(11)/(1.5),0)

The given system of equations have only one solution (
(11)/(1.5),0)

User Mind Mixer
by
8.6k 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