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

hold on , will get the answer

Answer 2

-x=24 x=-24
-72-6y=12
-6y=84
y=-14

3x-2y=6
6x-4y=12

2(3x-2y=6)
6x-4y=12
6x-4y=12

infinitely many solutions

Answer 3

Q1

Answer 4

1. 3x_2y=6
6x-4y=14
multiply first equation with -2
0x+0y=2 then no solutions

Answer 5

Uh, 2 answers for question 1... very confusing, but okay.

Answer 6

The third answer for question 1!

Answer 7

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

=> -6x+4y=-12
6x-4y=14
-----------
0=2
So yeah strenesmee is right :)

Answer 8

Alright then...

Answer 9

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

-3(5x+4y=1)
4(4x+3y=-1)

=> -15x-12y=-3
16x+12y=-4
--------------
x=-7

substitute x in any of the equations to find y:

4(-7)+3y=-1
-28+3y=-1
3y=27
y=9

Answer 10

Any doubts?

Answer 11

Nope, none at all ^_^

Answer 12

=D

Answer 13

Would you happen to know anything about the last question on here? ----^

Answer 14

Oh, the third question is graphing x_x

Answer 15

If you can;t get it, it's fine. I'm thankful for all the help you've already given me :)

Answer 16

Umm, no it's okay. I'm going to try to graph it here.

Answer 17

3.) y < 2x + 4
y < -2x + 2

For every inequality there is an associated equation for it.

y < 2x + 4 = y=2x+4 => (0,4) and (-2,0)

y < -2x + 2 = y=-2x+2 => (0,2) and (1,0)