1.) solve the following system of equations.

3x - 2y = 6
6x - 4y = 14

a.) (0, 0)
b.) (6, 14)
c.) infinitely many solutions
d.) 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

a.) -7
b.) 7
c.) 9
d.) -9

3.) which point lies in the solution set for the following system of inequalities?

a.) y < 2x + 4
b.) y < -2x + 2
c.) (1, 0)
d.) (-5, -2)
e.) (0, -3)
f.) (-1, 5)

Part 1) option D) No solutions

Part 2) option C

Part 3) option E

Step-by-step explanation:

Part 1) we have

-------> equation A

-------> equation B

Divide the equation B by both sides

-------->

Equation A and equation B represent a parallel lines, because their have the same slope

therefore

The system of equation does not have solution

Part 2) we have  

-------> equation A

-------> equation B

Multiply the equation A by both sides

-------> -------> equation C

Multiply the equation B by both sides

------> ------> equation D

Adds equation C and equation D

Part 3) we have

-------> inequality A

-------> inequality B

we know that

If a point lie in the solution set of the system of inequalities, then the point must be satisfy the inequalities of the system

a) point

Verify inequality A

 -------> is true

Verify inequality B

-----> is not true

therefore

the point   does not lie in the solution set of the system of inequalities

b) point

Verify inequality A

 -------> is not true

therefore

the point   does not lie in the solution set of the system of inequalities

c) point

Verify inequality A

 -------> is true

Verify inequality B

-----> is true

therefore

the point lies in the solution set of the system of inequalities

d) point

Verify inequality A

 -------> is not true

therefore

the point does not lie in the solution set of the system of inequalities

the square root of what number? if you add that, then someone will probably answer the question.

step-by-step explanation: