Find the values of x and y.

Question

Matrices..

[-4 2 3
5 3 5
2 -3 1] TIMES [2
x
5] EQUALS [9
38
y]

It is difficult for me to type the matrices in but....

The first matrix is 3x3 consisting of -4,2,3 in the first row.. 5,3,5 in the second row ......2,-3,1 in the third row... Then multiply this matrix by the other which is 3x1... One column going in order : 2,x,5..... Then equal to the other 3x1 matrix.. One column ...going down in order: 9,38,y)

Answer 1

I followed your description ok.

so we get:
-8 + 2x + 15 = 9
2x = 2
x = 1

10 + 3x + 25 = 38
3x = 3
x = 1 , confirming our first answer

4 - 3x + 5 = y
4-3+5=y
y = 6

So x = 1 , y = 6

Answer 2

Thank you, Reiny! :)