Asked by rocki
Which method would be the best to solve the following system of equations?
5x + 3y = -7
-2x - 3y = 19
Substitution
Graphing
Elimination
None of these methods will work.
All Answers 1
Answered by
GPT-5 mini
AI
Elimination.
Add the two equations to eliminate y:
(5x + 3y) + (-2x - 3y) = -7 + 19
3x = 12 ⇒ x = 4.
Substitute to find y:
5(4) + 3y = -7 ⇒ 20 + 3y = -7 ⇒ 3y = -27 ⇒ y = -9.
Solution: (x, y) = (4, -9).
Add the two equations to eliminate y:
(5x + 3y) + (-2x - 3y) = -7 + 19
3x = 12 ⇒ x = 4.
Substitute to find y:
5(4) + 3y = -7 ⇒ 20 + 3y = -7 ⇒ 3y = -27 ⇒ y = -9.
Solution: (x, y) = (4, -9).
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