Question

6x - 4y = -12; 8x - 3y = -2​

Answer 1

Answer:

Step-by-step explanation:

Given :

To find the values of x and y if,

6x - 4y = -12 , and

8x - 3y = -2.

Solution :

Here, we are using a method called elimination method.

In this method we are going to eliminate a variable by adding/subtracting the given equations.

6x - 4y = -12 ...(1)       [∵(1) meant the equation is 1st equation for our referrence]

8x - 3y = -2  ...(2)

By multiplying 1st equation by 3 and 2nd equation by -4, and adding we get,

3(6x - 4y) -4(8x - 3y) = 3(-12) - 4(-2)

18x - 12y - 32x + 12y = -36 + 8

-14x = -28

By dividing both the sides by -14,

We get,

$\frac{-14x}{-14} = \frac{-28}{-14}$

⇒ x = 2.

By substituting value of x in 1st equation,

We get,

6(2) - 4y = -12

12 - 4y = -12

- 4y = -12 - 12

- 4y = -24

By dividing both the sides, by -4

We get,

$\frac {- 4y}{4} = \frac{-24}{-4}$

⇒ y = 6.

Answer 2

Step-by-step explanation:

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