# Answer on Algebra Question for Brandy

Question #6324

Solve (matrix)

[-6, 3t+9]

[-1, 4]

=

[-6, 6t-4]

[-1, 3y+2]

for each variable.

[-6, 3t+9]

[-1, 4]

=

[-6, 6t-4]

[-1, 3y+2]

for each variable.

Expert's answer

Two matrices are equal if and only if their elements are equal. So, we get the

system of 2 equations:

3t+9 = 6t-4

4 = 3y+2.

From the first equation we

have 3t = 13, t = 13/3; from the second 3y = 2, y = 2/3.

The solution: t =

13/3, y = 2/3.

system of 2 equations:

3t+9 = 6t-4

4 = 3y+2.

From the first equation we

have 3t = 13, t = 13/3; from the second 3y = 2, y = 2/3.

The solution: t =

13/3, y = 2/3.

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