Systems Algebraically

2x - y = 0

4x - y = 0

• (1,2)

• (0,0)

• No Solutions

• Infinite Solutions

The substitution method will be used to solve this system of equations.
Which equation would lead to a correct solution with this method?

When solving a system algebraically, which expression indicates there is 1 solution?

• 2=2

• -2=6

• x=7

• 0=0

When solving a system algebraically, which expression indicates there are infinite solutions?

• Multiply the second equation by 2 and the result to the first equation.

• Multiply the second equation by -2 and the result to the first equation.

• Multiply the first equation by 7 and the second equation by -5 and add the resulting equations.

• Multiply the first equation by -7 and the second equation by -5 and add the resulting equations.

• 2x + 6(-5x) = -3

• 2x - 5x = -3

• y + 6(-5y) =-3

• 2(-5x) + 6y = -3

Which answer has a correct first step for this system:

• The variable is already isolated, so we've already solved the system.

• The variable is already isolated for y, so we substitute it in the first equation and solve for x

  3x + 3(3x + 5) = 3

• Free sha vaca doo

• The variable is already isolated for y, so we substitute it in the second equation and solve for x

  y = 3(3x + 3y) = 3

-6x+5y=1
 6x+4y=-10

• (1,1)

• (-1,-1)

• (-1, -4)

Solve by elimination:
4x+9y=28
-4x-y=-28

• (-7,0)

• (6,0)

• (-6,0)

• (7,0)

Solve by elimination:
4x+4y=4

3x+4y=10

• (7,-6)

• (-6,7)

• (6,7)

• (7,6)