Question

4. Solve the system of equations. (6 points)

2x-3y - 21
-6x+2y = 7
Part I: Explain the steps you would take to solve the system by eliminating the x-terms. (1 point)
Part II: Explain the steps you would take to solve the system by eliminating the y-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. (3 points)

Answer 1

1) If the first equation is 2x-3y=21, To eliminate the x-terms, I would multiply the first equation by -3. To make -6x+9y+63.

Then, I would subtract the second row from the first row to make 7y=-70

Next, divide both sides by 7 to solve for y. y = -10.

2) To eliminate the y-terms, I would multiply the first equation by 2 and the second equation by -3. It will make 4x-6y=42 and 18x-6y=-21.

Now, subtract the two equations to make -14x=63.

Lastly, divide both sides of the equation by -14 to find x. x = -9/2

3) The answer as an ordered pair is (-9/2, -10).

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