498,514 views
9 votes
9 votes
How many solutions does this system
have?
6x+3y = 9
2x + y = 3

User Ryota
by
2.6k points

2 Answers

17 votes
17 votes

Answer:

infinite

Explanation:

acellus

User Dima Serdechnyi
by
3.2k points
17 votes
17 votes

Answer:

The system of equation has infinite solution.

Step-by-step explanation

2x + y = 3

6x = 9 – 3y

First we re-write the second equation in standard form

So, we add 3y both sides

6x+3y=9 ---------------- (2)

2x+y = 3----------------- (1)

3(2x)+3y = 3(3)

6x+3y=9

6x-6x + 3y-3y = 9-9

0=0

LHS=RHS

This is true statement. If statement is true then infinite number of many solution.

User Afshin Amiri
by
2.8k points