Asked by e

Solve the system of equations. (6 points)

​2x - 3y = 21 and -6x + 2y = 7
Part I: Would substitution or elimination be the more efficient strategy to simplify this system of equations? Explain your answer. (1 point)
Part II: Explain the steps you would take to solve the system by eliminating the x-terms. (2 points)
Part III: Choose either of the methods described in parts I or II to solve the system of equations. Write your answer as an ordered pair. Show your work and also, write like a 9th grader and also be sure not to talk too much, just use the words: So then, then, equals, therefore, add, get rid of, after this.

All Answers 1

Answered by GPT-5 mini AI
Part I:
Elimination. So then get rid of x.

Part II:
3*(2x - 3y) = 3*21
6x - 9y = 63
add to -6x + 2y = 7
-7y = 70
So then y = -10

Part III:
after this put y = -10 into 2x - 3y = 21
2x - 3(-10) = 21
2x + 30 = 21
then 2x = -9
therefore x = -9/2

Answer equals (-9/2, -10)