Solve the following system of equations:
x - 2y = 6
2x - 4y = 10
a. infinitely many solutions
b. no solutions
c. (0,0)
d. (6, 10)

Part 1) No solutions

Part 2)

part 3)

Step-by-step explanation:

Part 1) we have

> equation A

> equation B

Multiply the equation A by

>

Equation A and equation B represent parallel lines

therefore

Is a inconsistent system of equations

The system has no solution

Part 2) we have

> equation A

> equation B

Multiply equation A by

>  > equation C

Multiply equation B by

>  > equation D

Adds equation C and equation D

Part 3) we have

> inequality A

> inequality B

we know that

If a ordered pair lie in the solution set of the system of inequalities

then

the ordered pair must be satisfy the system of inequalities

case A)

substitute the value of x and the value of y in both inequalities

Verify inequality A

> is true

Verify inequality B

 > is not true

the point  is not a solution

case B)

substitute the value of x and the value of y in both inequalities

Verify inequality A

> is not true

the point  is not a solution

case C)

substitute the value of x and the value of y in both inequalities

Verify inequality A

> is true

Verify inequality B

 > is true

the point  is a solution

case D)

substitute the value of x and the value of y in both inequalities

Verify inequality A

> is not true

the point  is not a solution

1- no solution

2- 7

3-

Hope this helps and please give me Brainliest

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!