Solving System of Equations All Ways

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

How many solutions does this system of equations have?

• One Solution

• No solution

• Infinitely Many Solutions

• Two Solutions

If a system of linear equations has one solution, what does this mean about the two lines?

• Parallel lines

• the same line

• Intersecting lines

Solve using substitution.
x - 2y = 2
3x + 4y = 3

• (1.4, -0.3)

• (3.1, 5)

• (-2.5, 3.5)

• (6.9, 1.02)

If you wanted to use elimination to "eliminate the x's", and you plan on subtracting the two equations, what should the first equation be changed to?

• 4x-4y=-28

• 3x-3y=-21

• 4x-y=-7

• x+(3/4)y=-5.25

If you are using the substitution method, which equation would be a viable result?

• 2x-4(-x+3)=18

• 2x-4(x+3)=18

• 2(-x+3)-4(-x+3)=18

• 2(-y+3)-4(-x+3)=18

If you are using elimination method, what would a viable equation be?

• -27y=-27

• -28y=-27

• -27y=77

• -27y=-77

What is the value of the x-coordinate to the solution to this system of linear equations? 2x + 3y = 15 and -x + 3y = 3

• 3

• -3

• 6

• 4

What is the solution to this system of equations?

• (4, -1)

• (-1, 4)

• (-4, 1)

• (-4, -1)

The solution of a system of linear equations is...

• the y-intercept (b)

• the intersection of the two equations on a graph

• the second equations' answers

• the slope (m)