Which method(s) can be used to solve a system of equations? select all that apply.
-distributing
-graphing
-substitution
-formulas
-addition
-modeling

Out of all given equations, the following methods can be used to solve a system of equations:

Option B, C, and E

Step-by-step explanation:

There are three methods of solving the system of equations as follows:

Substitution method: This involves solving one of the variable equations (depending on what you choose) and putting it back into the other equation and "substituting" for the selected variable and resolution for the second. Then solve the first variable again.

Elimination method: This method for solving systems of equations is also known as the addition method. To solve the equation systems by adding or subtracting from the equations to cancel out the common variables

Graphic method: It is used to find a solution to two linear equations. First, expand each equation by “y = ” or replace each equation by y = mx + b. Convert the equations to y = mx + b and prepare a function table.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.