Question

Solve the system by using elimination:
3x + 6y = 10
2x + 3y = 5

Answer 1

(0,
`(5)/(3)` )

Explanation:

3x + 6y = 10 → (1)

2x + 3y = 5 → (2)

multiplying (2) by - 2 and adding to (1) will eliminate y

- 4x - 6y = - 10 → (3)

add (1) and (3) term by term to eliminate y

- x + 0 = 0

- x = 0

x = 0

substitute x = 0 into either of the 2 equations and solve for x

substituting into (2)

2(0) + 3y = 5

3y = 5 ( divide both sides by 3 )

y =
`(5)/(3)`

solution is (0,
`(5)/(3)` )