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

4.

step-by-step explanation:

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