Create and Solve Linear Systems

Solve the following systems of equations using any method. Check each solution, if possible.

a. Candice is solving this system: 2x-1=3y 5(2x-1)+y=32 She notices that each equation contains the expression 2x−1. Can she substitute 3y for 2x−1? Why or why not?

• Yes, because 3y=2x-1, so they are the same.

• Yes, because they are on the same side of the equal sign.

• Yes, because 2x-1 is in the second equation.

• No, because they are not the same.

Which of the following could be a first step when solving using elimination for the given system of equations?

• Multiply the first equation by 3 and the second equation by 2

• Multiply th first equation by -3 and the second equation by 2

• Multiply the first equation by -5

  and the second equation by 3

• Multiply the first equation by 5 and the second equation by -3

• Multiply the first equation by 5 and the second equation by 3

What is the BEST FIRST step to solve this system by elimination:

• Add the equations

• Multiply the second equation by -4

• multiply the first equation by 2 and the second equation by 9

• Multiply the first equation by -1

what do you need to multiply the top equation by to make a zero pair:

5x - 2y = 11

-10x + 3y = -4

• 5

• -1

• 2

• -2

-2x + 6y = -20

2x + 5y = -11

what is the combined resulting equation?

• x + 11y = -31

• 11y = -31

• 11x = -31

• 4x + 11y = -31

• i need tutorials

what does the top equation need to be multiplied by to create a zero pair?

2x - 6y = 20

2x + 5y = -11

• -1

• 1

• -2

• 2