Easy Algebra Step-by-Step

Answer Key 237

3. 428

23 8

xy

xy 3

22 y=

3 y=−

2 y = −4x + 8

y= −2x+ 4

2 x − 3(−2x + 4) = −8

2 x+ 6 x − 12 = −8

8 x = 4

x=^1

2

4

1

2

⎛ 28

⎝⎜

⎛⎛

⎝⎝

⎞

⎠⎟

⎞⎞

⎠⎠

+ 2 y

2 + 2 y= 8

2 y = 6

y= 3

x=

1

2

and y = 3 is the solution.

4. − = → +
   − ⎯→⎯→⎯→
   −

24 + 82 ⎯⎯⎯⎯⎯⎯→→→− 48 =

27 =− 27 +=

1

xy+ 4 xy+ 4

xy− Multiply xy+

by

5 y= 15

y= 3

−2x − 3 = −7

−2x = −4

x= 2

x= 2 and y = 3 is the solution.

5. 826826
   313824 104
   8

xy 2 xy 2

xy 3 xy 24

2 y= → 2

3 13 → 8 x+ =

−

Multiply

by

22 y= 110

y= 5

x − 3(5) = −13

x − 15 = −13

x= 2

x= 2 and y = 5 is the solution.

6.^24428
46 16 46 16

xy^2 xy 2

xy 6 xy 6

⎯→⎯→⎯→− 4 =−

6 y=−⎯ 16 ⎯⎯⎯⎯⎯⎯⎯→→→ 4 =−

−

Multiply

by

−8y = −24

y= 3

2 x + 3 = 4

2 x= 1

x=

1

2

x=^1

2

and y= 3 is the solution.

7. 323
   629

xy 2

xy 2

2 y=

22 y=

4

2

–2

–4

5

x≈ 1.33

y≈ 0.50

y

x

y = –3x +^9

2

y =^3

2

x –^3

2