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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.

Respuesta :

sharonkaran

Answer:

x=½

y=5

Step-by-step explanation:

(8x+7y=39)2

16x+14y=78

4x-14y=-68 add the two equations

20x=10.

divide both sides by 20

x=½

8x+7y=39

4+7y=39

7y=39-4

7y=35

y=5

The value of x and y in the system of equation using elimination method is 1 / 2and 5 respectively.

8x + 7y = 39

4x – 14y = –68

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

Multiply by 2

16x + 14y = 78

Add the equations to eliminate the y-terms:

-14y + 14y = 0

4x + 16x = 20x

-68 + 78 = 10

Solve the new equation for the x-value

20x = 10

x = 1 / 2

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

8(1 / 2) + 7y = 39

4 + 7y = 39

7y  = 35

y = 35 / 7

y = 5

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