Systems of equations Algebraically

​Solving Systems Algebraically & the Power Stone

​Quest

​The power stone is a beacon of enhancement for all magic users in the realm. Retrieve it and bring it to the top of the mountain.

Multiple Choice

Find the stone in the cavern beneath the mountain. Which of the following systems of equations will yield the same solution as:

2x + 4y = -9

x - y = 3

• 2x + 4y = -9

  2x - 2y = 3

• 2x + 4y = -9

  2x - 2y = -6

• 4x + 8y = -18

  x - y = 6

• 4x + 8y = -18

  x - y = 3

Multiple Choice

Sneak past the Sleeping Giant. Which method could be used to eliminate one of the variables in the system below?

Equation A: 5x + 9y = 12

Equation B: 4x - 3y = 8

• Multiply Equation B by -3 and add the result to Equation A

• Multiply Equation B by 3 and add the result to Equation A

• Multiply Equation A by 4, multiply Equation B by 5, and add the result   together

• Add Equation A to Equation B

Multiple Choice

Beware the hunters of the sky! Solve the system using the elimination method

2x + 3y = 24

5x - 3y = -3

• x = 6

  y = -3

• x = -6

  y = 3

• x = 3

  y = -6

• x = 3

  y = 6

Multiple Choice

Defeat the Ice Mage who wants the stone for himself. Solve the system by elimination

4x + 9y = -14

2x - 3y = 8

• x = 1

  y = -2

• x = -2

  y = 1

• x = -2

  y = 1

• x = -1

  y = 2

​Congratulations!

​You have enhanced magic for everyone in the realm

Poll

I can solve a system of equations using elimination

• Strongly Agree

• Agree

• Disagree

• Strongly Disagree