What is the value of x in the matrix equation below?

Explanation:

The -2 outside the first matrix multiplies to every item inside that first matrix.

So the x updates to -2x in the upper left corner.

That -2x adds to the 3 in the upper left corner of the second matrix. The sum -2x+3 must be equal to the value in the upper left corner of the third matrix.

Everything is focused on the upper left corner.

So we must solve -2x+3 = x

Doing so leads to...

-2x+3 = x

3 = x+2x

3 = 3x

3x = 3

x = 3/3

x = 1

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Step-by-step explanation:

unit test edg 2021

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

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step-by-step explanation: