If 4a + 6b = 10 and 2a - 4b = 12. What does 12a =

Solution:

Given, 4a + 6b = 10 ------------- (1)

2a - 4b = 12 ----------------------- (2)

We have to find the value of 12a.

Multiplying (2) by 2,

2(2a) - 2(4b) = 2(12)

4a - 8b = 24 -------------------------- (3)

Subtracting (1) and (3),

4a + 6b - (4a - 8b) = 10 - 24

4a + 6b - 4a + 8b = -14

6b + 8b = -14

14b = -14

b = -14/14

b = -1

Put b = -1 in (2),

2a - 4(-1) = 12

2a + 4 = 12

2a = 12 - 4

2a = 8

a = 8/2

a = 4

Now, 12a = 12(4) = 48

Therefore, the value of 12a is 48.

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If 4a + 6b = 10 and 2a - 4b = 12. What does 12a =

Summary:

If 4a + 6b = 10 and 2a - 4b = 12. 12a = 48.