Question

Solve the system by using a matrix equation.

4x-3y=6
6x-4y=4​

Answer 1

The answer to your question is:

x = -6

y = -10

Explanation:

Δ =
`\left[\begin{array}{ccc}4&-3\\6&-4\end{array}\right] \\`

Δ = -16 + 18

Δ = 2

Δx =
`\left[\begin{array}{ccc}6&-3\\4&-4\\\end{array}\right]`

Δx = -24 +12

Δx = -12

Δy =
`\left[\begin{array}{ccc}4&6\\6&4\\\end{array}\right]`

Δy = 16 - 36

Δy = -20

x = -12/2 = -6

y = -20 / 2 = -10