Write the ordered pair that represents yz. Then find the magnitude of yz
Y(3,1), Z(0,4)

(-3, 3),  

Step-by-step explanation:

I'm assuming this is a vector problem. See the graph for the vector from Y to Z (the tail is at point Y, the head is at point Z).

This vector is equivalent to one which is the same length and in the same direction with its tail at the origin.  That vector's head is at (-3, 3) -- the blue one.

To get that, subtract the tail of the original vector from the head of the original vector.

(0, 4) - (3, 1) = (0 - 3, 4 - 1) = (-3, 3)

The magnitude of the blue vector is its length.  Use the Distance Formula.

This simplifies to

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .

if i put something wrong your not gonna like it so rather not say nothing.