3x-2y=2 2x-y=2?

Answer 1

3x - 2y = 2
-4x + 2y = - 4----ADD
-x = - 2
x = 2

4 - y = 2
y = 2

x = 2 , y = 2

Answer 2

*Choose "x" or "y" to isolate (either equation). Let's isolate "y" in the 2nd equation.

First: subtract 2x from both sides (when you move a term to the opposite side, always use the opposite sign).

2x-2x - y = 2-2x
-y = 2-2x ("y" has to be positive - change all signs).
y = - 2 +2x

Sec: substitute -2+2x with "y" in the 1st equation.

3x - 2(-2+2x) = 2 (use the distributive property).
3x - 2(-2)-2(2x) = 2
3x + 4 - 4x = 2
-x + 4 = 2 (subtract 4 from both sides).
-x + 4-4 = 2-4
-x = 2-4
- x = -2
x = 2

*Substitute 2 with "x" in the 2nd equation.

2(2) - y = 2
4 - y = 2 (subtract 4 from both sides).
4 - 4-y = 2 - 4
-y = - 2
y = 2

Solution: (2, 2)

Answer 3

3x-2y=2 2x-y=2?
(3x2=6)-(2x2=4)=2
x=2
y=2

Answer 4

3x-2y=2
2x-y=2................multiply this one by -2 (both sides)

...3x-2y=2
.+-4x+2y=-4......add the equations

-x=-2
x=2...............also after plugging in x, y=2

Answer 5

Subtract both of them, you get
x-y=0, or x=y
Subsitute all y to x,
3x-2x=2
x=2
So, (x,y)=(2,2)