Question

Solve the system by linear combination. Show all your work.

9x+5y=35
-2x-5y=0

Answer 1

(5, - 2 )

Explanation:

Given the 2 equations

9x + 5y = 35 → (1)

- 2x - 5y = 0 → (2)

Adding the 2 equations term by term will eliminate the y- term

7x = 35 ( divide both sides by 7 )

x = 5

Substitute x = 5 into either of the 2 equations for value of y

Substituting in (1) gives

9(5) + 5y = 35

45 + 5y = 35 ( subtract 45 from both sides )

5y = - 10 ( divide both sides by 5 )

y = - 2

Solution is (5, - 2 )