Question

Determine the best method to solve the system of equations. Then solve the system.
7x-2y=8
5x+2y=4

Answer 1

Answer:

x=1  y = -1/2

(1,-1/2)

Step-by-step explanation:

7x-2y=8  

5x+2y=4

I would use elimination since we have 2y in one equation and -2y in the other

7x-2y=8  

5x+2y=4

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12x = 12

Divide each side by 12

12x/12 = 12/12

x =1

The substitute back into equation 2

5(1) +2y = 4

5 +2y = 4

Subtract 5

5-5+2y = 4-5

2y = -1

Divide by 2

2y/2 = -1/2

y = -1/2

Answer 2

Answer:

The best method is the elimination method. The solution is (1, -1/2).

Step-by-step explanation:

7x - 2y = 8

5x + 2y = 4

12x = 12

x = 1

7(1) - 2y = 8

7 - 2y = 8

-2y = 1

y = -1/2

Make sure to write the answer in the form of an ordered pair.

Note: Alternative methods are graphing and the substitution method.