1.) solve the following system of equations.
3x - 2y = 6
6x - 4y = 14
(0, 0)
(6, 14)
infinitely many solutions
no solutions
2.) what is the value of the y variable in the solution to the following system of equations?
5x + 4y = 1
4x + 3y = -1
-7
7
9
-9
3.) which point lies in the solution set for the following system of inequalities?
y < 2x + 4
y < -2x + 2
(1, 0)
(-5, -2)
(0, -3)
(-1, 5)

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

y=20x

: )

hope this