299,607 views
22 votes
22 votes
How do I solve use elimination
x+3y=13
5x+6y=38​

User Dbh
by
2.8k points

1 Answer

21 votes
21 votes

Answer:

(4, 3 )

Explanation:

Given the 2 equations

x + 3y = 13 → (1)

5x + 6y = 38 → (2)

Multiplying (1) by - 2 and adding to (2) will eliminate the y- term

- 2x - 6y = - 26 → (3)

Add (2) and (3) term by term to eliminate y

3x + 0 = 12

3x = 12 ( divide both sides by 3 )

x = 4

Substitute x = 4 into either of the 2 equations and solve for y

Substituting into (1)

4 + 3y = 13 ( subtract 4 from both sides )

3y = 9 ( divide both sides by 3 )

y = 3

solution is (4, 3 )

User Oleksii Vorochenko
by
3.0k points