Solve the following system of equations:
y = 4x - 6
5x - 4y = -9

(X=Y)=(3,6)

Step-by-step explanation:

5x-4(4x-6)=-9

x=3

y=4x3-6

y=6

1.

Step 1: Flip the equation.

4x−6=y

Step 2: Add 6 to both sides.

4x−6+6=y+6

4x=y+6

Step 3: Divide both sides by 4.

4x

4

=

y+6

4

x=

1

4

y+

3

2

2.

Step 1: Add 4y to both sides.

5x−4y+4y=−9+4y

5x=4y−9

Step 2: Divide both sides by 5.

5x

5

=

4y−9

5

x=

4

5

y+

−9

5

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.