Lesson 10 Solving Systems with Elimination Part 2

Lesson 10 Solving Systems of Equations with Elimination Part

Multiple Select

Select all the equations that share a solution with this system of equations.

{5x+4y=24

2x−7y=26

• 7x+3y=50

• 7x−3y=50

• 5x+4y=2x−7y

• 3x−11y=-2

• 3x+11y=-2

Open Ended

Multiple Choice

Which statement explains why 13x−13y=-26 shares a solution with this system of equations:

{10x−3y=29

-3x+10y=55

• Because 13x−13y=-26 is the product of the two equations in the system of equations, it the must share a solution with the system of equations.

• The three equations all have the same slope but different y-intercepts. Equations with the same slope but different y-intercepts always share a solution.

• Because 10x−3y is equal to 29, I can add 10x−3y to the left side of -3x+10y=55 and add 29 to the right side of the same equation. Adding equivalent expressions to each side of an equation does not change the solution to the equation.

• Because -3x+10y is equal to 55, I can subtract -3x+10y from the left side of 10x−3y=29 and subtract 55 from its right side. Subtracting equivalent expressions from each side of an equation does not change the solution to the equation.

Multiple Select

Select all equations that can result from adding these two equations or subtracting one from the other.

{x+y=12

3x−5y=4

• -2x−4y=8

• -2x+6y=8

• 4x−4y=16

• 4x+4y=16

• 2x−6y=-8

Open Ended

Open Ended