elimination mtd,5a-2b=14,2a+2b=14

Answer 1

5 a - 2 b = 14
+
2 a + 2 b = 14
___________

7 a = 28

a = 28 / 7

a = 4

Replace a by 4 in first equation:

5 a - 2 b = 14

5 ∙ 4 - 2 b = 14

20 - 2 b = 14

Subtract 20 to both sides.

- 2 b = - 6

b = - 6 / - 2

b = 3

OR

Replace a by 4 in second equation:

2 a + 2 b = 14

2 ∙ 4 + 2 b = 14

8 + 2 b = 14

Subtract 8 to both sides.

2 b = 6

b = 6 / 2

b = 3

The solution is:

a = 4 , b = 3