203,632 views
19 votes
19 votes
Solve the system of equations using subtraction.
2x−4y=−4
2x+ y =11

User Bennythejudge
by
2.9k points

2 Answers

19 votes
19 votes

Answer:

(4, 3 )

Explanation:

2x - 4y = - 4 → (1)

2x + y = 11 → (2)

subtract (2) from (1) term by term to eliminate x

(2x - 2x) + (- 4y - y) = - 4 - 11

0 - 5y = - 15

- 5y = - 15 ( divide both sides by - 5 )

y = 3

substitute y = 3 into either of the 2 equations and solve for x

substituting into (2)

2x + 3 = 11 ( subtract 3 from both sides )

2x = 8 ( divide both sides by 2 )

x = 4

solution is (4, 3 )

User Tetsuo
by
3.1k points
24 votes
24 votes
2x-4y=-4 —> x=-2 y=1
2x +y=11 —> x= 5.5 y=11
User Chris Noldus
by
3.5k points