Question

3x + y = -4 6x + 2y= 6

Answer 1

Before solving for the values of x and y, always check for the ratio of coefficients. Suppose you have two equations:
ax+by+c=0
Ax+By+C=0

1. If (a/A) ≠ b/B, then the equation has a unique solution and you can continue to find the answer.
2. If (a/A) = b/B ≠c/C, then there exists no solution and you can not find the values of x and y as they don't exist.

3. If (a/A) = b/B = c/C, then X and Y are said to have infinitely many solutions.

Now let's take a look at the given equations:

3x + y +4= 0
6x + 2y-6=0
Let's check the ratio of coefficients.
1/2=1/2 ≠ 2/-3, which shows that the equations doesn't really have any solutions.