Question

Follow the directions to solve the system of equations by elimination. 8x + 7y=39 4x – 14y = -68​

Answer 1

Explanation:

Hey there!

Here;

The equations are;

`8x + 7y = 39.......(i)`

`4x - 14y = - 68..........(ii)`

Multiplying equation (i) by 2.

16x + 14y = 78

4x - 14y = -68

20x = 10

`x = (10)/(20)`

x = 1/2.

Putting value of 'x' in equation (i).

`8 * (1)/(2) + 7y = 39`

`4 + 7y = 39`

`7y = 3 9 - 4`

`y = (35)/(7)`

Therefore the value of y is 5.

Check:

Put value of x and y in equation (i).

8x + 7y = 39

`8 * (1)/(2) + 7 * 5 = 39`

`4 + 35 = 39`

`39 = 39`

(True).

Therefore, the solution is ; (1/2,5).

Hope it helps...