Question

Use Cramer's Rule to solve the system or to determine that the system is inconsistent or contains dependent equations.

2x + 4y = 12
3x + y = -2

1) inconsistent system
2) {(-2,4)}
3) {(-4, -2)}
4) {(4, -2)}

Answer 1

@Audrae_World do you know cramer's rule?

Answer 2

x + y + z =
x – y – z = 0
x + 2y + z = 0

Answer 3

That's not Cramer's rule
Suppose I have the following system of equations
\[a1x+b1y=c1\]
and
\[a2x+b2y=c2\]
Then x and y are given as
\[x=\frac{\left[\begin{matrix}c1 & a1 \\ c2& a2\end{matrix}\right]}{\left[\begin{matrix}a1 & b1 \\ a2& b2\end{matrix}\right]}\]
\[y=\frac{\left[\begin{matrix}b1 & c1 \\ b2& c2\end{matrix}\right]}{\left[\begin{matrix}a1 & b1 \\ a2& b2\end{matrix}\right]}\]
All are determinants, can you find x and y?

Answer 4

WOAH my teacher didn't teach or classify with my class D:

Answer 5

Do you know determinants ?

Answer 6

determinants like this:
[a b
c d] and you multiply ad -bc?

Answer 7

Yeah you're right, try this here

Answer 8

Okay thanks :D

Answer 9

Can you do it here?
Did you understand?

Answer 10

I think later on the cramer is refered to as the wronskian