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)

Respuesta :

the answer is no solutions

Answer:

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-

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