How do you find the values of x and y given #[(18, 24)]=[(4x-y, 12y)]#?

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Answer 1 · 2017-05-10T07:20:14

#x=5# and #y=2#

#[(18,24)]=[(4x-y,12y)]# means that the given two #1xx2# matrices are equal.

Any two matrices are equal only if each element of one matrix is equal to the corresponding element of other matrix.

Hence, here we have #18=4x-y#

and #24=12y#

The second equation gives us #y=24/12=2#

and hence first equation reduces to

#18=4x-2# or #4x=18+2=20# and #x=20/4=5#

Hence, #x=5# and #y=2#.