Follow the directions to solve the system of equations by elimination.


8x + 7y = 39


4x – 14y = –68


Multiply the first equation to enable the elimination of the y-term.

Add the equations to eliminate the y-terms.

Solve the new equation for the x-value.

Substitute the x-value back into either original equation to find the y-value.

Check the solution.

The solution to the system of equations is?

Respuesta :

Answer:

X= 1/2 Y= 5

Step-by-step explanation:

8x+7y=39-------------(1)--------×2

4x-14y= -68-----------(2)-------×1

16X + 14Y = 78--------(3)

4X- 14Y = -68----------(4)

Addy equation (4) and (3)

20X = 10

dividing bothsides by 20

20X/20= 10/20

X = 1/2

substitute the value of X into equation (1)

8X+7Y = 39

8(1/2)+7Y= 39

4+7Y = 39

7Y = 39-4

7Y = 35

dividing bothsides 7

7Y= 35/7

Y = 5