What is the value of a? Enter your answer in the box. Enter your answer as a simplified fraction.

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Work Shown:

The scalar (2/5a+6) multiplies with the matrix on the left side to get the matrix on the right side

So this is what your steps could look like

The last matrix equation leads to this system of equations

If we pick any of those equations, and solve for 'a', then we'll get our answer.

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Let's say we pick the first equation

(6/5)a+18 = 15

(6/5)a = 15-18

(6/5)a = -3

a = -3(5/6)

a = -15/6

a = -5/2

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If we pick on the second equation, then,

(-4/5)a-12 = -10

(-4/5)a = -10+12

(-4/5)a = 2

a = 2(-5/4)

a = -10/4

a = -5/2

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Or we could solve the third equation for 'a'

(14/5)a+42 = 35

(14/5)a = 35-42

(14/5)a = -7

a = -7*(5/14)

a = -35/14

a = -5/2

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You only need to solve one equation to find 'a', though it's good practice to solve all three to see all three rows agreeing with one another.

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step-by-step explanation:

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