Question

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)

Please try to help. Any help from anyone is appreciated...

Answer 1

1. no solutions.
(3x-2y=6)-2
6x-4y=14


-6x+4y=12
6x-4y=14

then subtract or add down.
0=24. not equal, so no solution

Answer 2

2. 9
5x+4y=1
4x+3y=-1

need to get rid of x to have y left
(5x+4y=1)4
(4x+3y+-1)-5

20x+16y=4
-20x-15y=5

1y=9
y=9

Answer 3

3. just plug in each set of coordinates at a time and see which one works