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3 years ago

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

Mathematics

1 answer:

7nadin3 [17]3 years ago

4 0

Answer:

The value of x for equation is 3.4

The value of y for equation is 5.2

Step-by-step 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 = $\dfrac{34}{10}$

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

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