Question

Question 2 (5 points) Saved

Determine the best method to solve the system of equations. Then solve the system.
7x - 2y = 8
5x + 2y = 4
elimination using subtraction; (2, -3)
elimination using addition;
elimination using addition;
elimination using subtraction; (-3,2)

Answer 1

(1, -1/2)

Explanation:

7x - 2y = 8

5x + 2y = 4

I would use elimination to get rid of y

Add the two equations together

7x - 2y = 8

5x + 2y = 4

-------------------------

12x = 12

Divide each side by 12

x =1

Now find y

5x+2y = 4

5*1 +2y =4

Subtract 5 from each side

5+2y -5 = 4-5

2y = -1

Divide by 2

2y/2 =-1/2

y = -1/2