Answer:
Given System of equation:
x-y =6 .....,[1]
2x-3z = 16 ......[2]
2y+z = 4 .......[3]
Rewrite the equation [1] as
y = x - 6 .......[4]
Substitute the value of [4] in [3], we get

Using distributive property on LHS ( i.e,
)
then, we have
2x - 12 +z =4
Add 12 to both sides of an equation:
2x-12+z+12=4+12
Simplify:
2x +z = 16 .......[5]
On substituting equation [2] in [5] we get;
2x+z=2x -3z
or
z = -3z
Add 3z both sides of an equation:
z+3z = -3z+3z
4z = 0
Simplify:
z = 0
Substitute the value of z = 0 in [2] to solve for x;

or
2x = 16
Divide by 2 both sides of an equation:

Simplify:
x= 8
Substitute the value of x =8 in equation [4] to solve for y;
y = 8-6 = 2
or
y = 2
Therefore, the solution for the given system of equation is; x = 8 , y = 2 and z =0
4a-8=28
add 8 to both sides to start to isolate the variable (a)
-8+8 cancels each other out
28+8=36
4a=36
to completely isolate the variable divide both sides by 4
4a÷4=a
36÷4=9
a=9
There is no solution since ln(0) is undefined
The subtraction in the standard form of the polynomial is
.
Given that
Expression;
.
We have to determine
The subtraction of a polynomial.
According to the question
Expression;
.
To find the subtraction of the polynomial follow all the steps given below.
- Step1; Write the expression as an additive inverse.

- Step2; Rewrite terms that are subtracted as the addition of the opposite.

![\rm 6m^5 + 3 + (-m^3) + (-4m) + m^5 + (2m^3) + 4m + (-6)\\\\(6m^5 + m^5) + [3 + (-6)] + [(-m^3) + (-2m^3)] + [(-4m) + 4m]\\\\](https://tex.z-dn.net/?f=%5Crm%206m%5E5%20%2B%203%20%2B%20%28-m%5E3%29%20%2B%20%28-4m%29%20%2B%20m%5E5%20%2B%20%282m%5E3%29%20%2B%204m%20%2B%20%28-6%29%5C%5C%5C%5C%286m%5E5%20%2B%20m%5E5%29%20%2B%20%5B3%20%2B%20%28-6%29%5D%20%2B%20%5B%28-m%5E3%29%20%2B%20%28-2m%5E3%29%5D%20%2B%20%5B%28-4m%29%20%2B%204m%5D%5C%5C%5C%5C)
- Step4; the resulting polynomial in standard form is,
![\rm (6m^5 + m^5) + [3 + (-6)] + [(-m^3) + (-2m^3)] + [(-4m) + 4m]\\\\ 7m^5-3m^2-3](https://tex.z-dn.net/?f=%5Crm%20%286m%5E5%20%2B%20m%5E5%29%20%2B%20%5B3%20%2B%20%28-6%29%5D%20%2B%20%5B%28-m%5E3%29%20%2B%20%28-2m%5E3%29%5D%20%2B%20%5B%28-4m%29%20%2B%204m%5D%5C%5C%5C%5C%207m%5E5-3m%5E2-3)
Hence, the subtraction in the standard form of the polynomial is
.
To know more about Polynomial click the link given below.
brainly.com/question/26078031