Set this in a Matrix Equation and Solve it.

Question

3x-5y=24

5x+4y=-3

Answer 1

Obtain from

3x − 5y = 24

5x + 4y = -3

the Matrix Notation:

3__(-5)----TIMES-----x ----EQUALS ----- 24

5___4--------------------y----------------------(-3)

Take the Principal Determinant as (3 × 4) − (5 × -5) or 37

Take the X Determinant as (24 × 4) − (-3 × -5) or 81

Take the Y Determinant as (3 × -3) − (5 × 24) or -129

Next, x is given by (81 ÷ 37) or 2.189189189.

Then, y is given by (-129 ÷ 37) or -3.486486486.