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Solve this system of equations algebraically.

Solve this system of equations algebraically.-example-1
User FireShock
by
3.2k points

2 Answers

5 votes

Answer:

(3, - 1 )

Explanation:

Given the 2 equations

2x + 3y = 3 → (1)

x + 6y = - 3 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate the term in x, that is

- 2x - 12y = 6 → (3)

Add (1) and (3) term by term to eliminate x

- 9y = 9 ( divide both sides by - 9 )

y = - 1

Substitute y = - 1 into either of the 2 equations and solve for x

Substituting into (2)

x + 6(- 1) = - 3

x - 6 = - 3 ( add 6 to both sides )

x = 3

Solution is (3, - 1 )

User Angi
by
3.1k points
2 votes

Answer:

x=3, y=-1

Explanation:

User Kyrth
by
3.7k points