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nybrwag
These questions are just a way of saying it's a two system equation. You can go about this by elimination for both of them.
-8x - 4y = -12
+ 6x + 4y = 14
---------------------
-2x = 2
/-2
x=-1
Since A is the only answer with x=-1, you technically don't have to solve for y but it is still a good idea to plug x into one of the equations and solve for y.


2x + 3y = 50
+ 4x -2y = 4
-----------------
multiply the top equation by -2 so you can eliminate your x's
-4x - 6y = -100
+4x - 2y = 4
------------------
-8y = -96
/-8
y=12
Once again, your first answer is the only one with y=12 but you should still go back through and plug things in to double check!
irspow
7)

6x+4y=14 and -8x-4y=-12

If we add these two equations together we have:

6x-8x+4y-4y=14-12  combine like terms

-2x=2  divide both sides by -2

x=-1, use either origina equation to solve for y, 6x+4y=14 becomes:

6(-1)+4y=14

-6+4y=14  add 6 to both sides

4y=20  divide both sides by 4

y=5

So the solution to the system of equations is:

x=-1, y=5

8)

2x+3y=50 and 4x-2y=4

-2(2x+3y=50)+(4x-2y=4)

(-4x-6y=-100)+(4x-2y=4)

-8y=-96  divide both sides by -8

y=12, making 4x-2y=4 become:

4x-2(12)=4

4x-24=4

4x=28

x=7

So the solution to the system of equations is:

x=7, y=12

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