Question

2x + y = 12
4x - 3y = 2

Answer 1

The value of x for equation is 3.4

The value of y for equation is 5.2

Explanation:

Given as :

The two linear equation are

2 x + y = 12 ........A

4 x - 3 y = 2 .........B

Now, Solving both equations , we get

3 × ( 2 x + y ) + (4 x - 3 y) = 3 × 12 - 2

Or, 6 x + 3 y + 4 x - 3 y = 36 - 2

Or, (6 x + 4 x) + (3 y - 3 y) = 34

Or, 10 x + 0 = 34

∴ x =
`(34)/(10)`

i.e x = 3.4

So, The value of x for equation , x = 3.4

Put the value of x into eq A

∵ 2 x + y = 12

Or, y = 12 - 2 x

Or, y = 12 - 2 × 3.4

Or, y = 12 - 6.8

∴ y = 5.2

So, The value of y for equation , y = 5.2

Hence, The value of x for equation is 3.4 and The value of y for equation is 5.2 Answer