Answer:

2. y=  2

x−4

     x=2(y+2)

    x−2y=4

    Add 2y to both sides.

    x=4+2y

3. x=4−y

   y=4−x

2x+2y=8

Subtract 2x from both sides.

2y=8−2x

Divide both sides by 2.

2

2y

​

=  2

8−2x

​

Dividing by 2 undoes the multiplication by 2.

y=  

2

8−2x

​

Divide 8−2x by 2.

y=4−x

4. x=  3/

5−y

3x+y=5

Subtract y from both sides.

3x=5−y

Divide both sides by 3.

3

/3x

​

=  3

/5−y

​

Dividing by 3 undoes the multiplication by 3.

x=  

3

5−y

​y=5−3x

3x+y=5

Subtract 3x from both sides.

y=5−3x

5. x=−(y+2)

x+y=−2

Subtract y from both sides.

x=−2−y

y=−(x+2)

x+y=−2

Subtract x from both sides.

y=−2−x

6. x=  2

y+3

​x=  2

y+3

0x−5y=15

Add 5y to both sides.

10x=15+5y

The equation is in standard form.

10x=5y+15

Divide both sides by 10.

10

10x

​

=  10/5y+15

​

Dividing by 10 undoes the multiplication by 10.

x=  10

/5y+15

​Divide 15+5y by 10

y=2x−3

10x−5y=15

Subtract 10x from both sides.

−5y=15−10x

Divide both sides by −5.

−5

−5y

​=  −5

15−10x

​

Dividing by −5 undoes the multiplication by −5.

y= −5

15−10x

​Divide 15−10x by −5.

y=2x−3

10x−5y=15

Subtract 10x from both sides.

−5y=15−10x

Divide both sides by −5.

−5

−5y

=  −5

15−10x

​Dividing by −5 undoes the multiplication by −5.

y=  −5

15−10x

​Divide 15−10x by −5.

y=2x−3

10x−5y=15

Subtract 10x from both sides.

−5y=15−10x

Divide both sides by −5.

−5

−5y

=  −5

15−10x

​Dividing by −5 undoes the multiplication by −5.

y=  

−5

15−10x

Divide 15−10x by −5.