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

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.