Solving Systems by Elimination: Day 1 Insights

What method is used in this video to solve systems of equations?

• Matrix Method

• Elimination

• Substitution

• Graphing

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What should you do if the x or y terms are not opposites in the given equations?

• Divide one equation by the other

• Subtract the equations

• Multiply one equation by negative one

• Add the equations directly

Tags

CCSS.6.EE.B.7

In the first example, what is the value of y after solving the equation 10y = -10?

• 1

• -10

• -1

• 10

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

After finding y = -1 in the first example, what is the next step?

• Solve for x in the same equation

• Add the equations again

• Substitute y into one of the original equations

• Multiply both equations by 2

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to the system in the first example?

• (-7, 1)

• (7, -1)

• (-7, -1)

• (7, 1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

In the second example, why do we multiply one of the equations by negative one?

• To make the coefficients of x equal

• To eliminate the x terms

• To simplify the equation

• To make the y terms opposites

Tags

CCSS.6.EE.B.7

What is the value of x in the second example after solving -3x = -12?

• 4

• -4

• 3

• -3

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the final solution to the system in the second example?

• (-4, 4)

• (4, -4)

• (-4, -4)

• (4, 4)

Tags

CCSS.8.EE.C.8B

What does a true statement like 5 = 5 indicate in special cases of solving systems?

• No solution

• Unique solution

• Infinitely many solutions

• Inconsistent system

Tags

CCSS.8.EE.C.8B

What does a false statement like 0 = -2 indicate in special cases of solving systems?

• No solution

• Unique solution

• Infinitely many solutions

• Dependent system

Tags

CCSS.8.EE.C.8B