Use substitution to solve the linear system of equations.
x=4
-y=1/2x

(4, -2)
(-2, 4)
(4, 2)
(2, -4)

The solution is (4,-2)

Step-by-step explanation:

Given system of equations:

To solve the system of equations using substitution.

Solution:

We will substitute the value of given in the first equation in the second equation to solve for .

Substituting in second equation.

Multiplying both sides by -1 to isolate positive on the left.

[Two negatives multiply to become positive]

So, the solution is and .

The solution in order pair is  (4,-2)

$3720

step-by-step explanation:

taxable income = $31000

as per the 2018-2019 us tax bracket, the tax rate is 12% for an individual whose taxable income is between $9,526 to $38,700.

so, the tax to be paid by him = 12% of 31000

= 0.12 * 31000     [12% converted to decimal as 0.12]

= $3720

step-by-step explanation:

given that ab is divided into equal parts as

ac, cd, de, ef, fg, gh, hi, ib.

from this we find that f is the midpoint of ab.

so using mid point formula we find

f = (3,7)

similarly considering fb, we get

h = mid point of fb = ((6,6) and g, mid point of fh is

g = (9/2, 13/2)

i is mid point of hb

so i =(15/2,11/2)