Systems of Equations

Systems of Equations

Multiple Choice

Solve the system of equations

y = 5x + 1

y = 3x + 13

• (6, 31)

• (31, 6)

• (4, 21)

• (2, 11)

Multiple Choice

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (2, 0)

Multiple Choice

What is the solution?

• One Solution
• No solution
• Infinitely Many Solutions
• (0, -1.5)

Multiple Choice

Solve for x and y

y = 2x + 1

y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

Multiple Choice

What is the Solution to this system?

• (2,-2)

• (-2,2)

• All Real Numbers

• No Solution

Multiple Choice

Solve using elimination.

4x + 8y = 20

-4x + 2y = -30

• (-7,1)

• (2,-5)

• (-2,5)

• (7,-1)

Multiple Choice

Solve by elimination

-2x + 6y = 16

-4x - 3y = 2

• (2,2)

• (-2, -2)

• (-2,2)

• (2,1)

Multiple Choice

Solve the following system by using elimination:

-3x - 6y = -30

-7x + 8y = -4

• (4, 3)

• (3, 4)

• (4, -3)

Multiple Choice

Solve the following systems of equations using substitution:

2y + x = -15

x = 3y

• (-3, -9)

• (-9, -3)

• (-3, 9)

• (9, -3)

Multiple Choice

Solve:

y=8x+1

y=6x+3

• (1, 9)

• (4, 14)

• (0, 1)

• (2, 4)

Multiple Choice

Solve the following systems of equations using substitution:

y = 3 - x

3y + x = 5

• No solution

• (1, 2)

• (3, 0)

• (2, 1)

When in doubt...

GRAPH!!! It can always be your back up plan! Just remember how to rewrite the equation into y=mx+b.

Multiple Choice

Convert the standard form equation into slope-intercept form.

4x - 3y = 15

• y = (4/3)x - 5

• y = ⅔x - 5

• x = ¾

• y = 27, 239, 430

Multiple Choice

Convert the standard form equation into slope-intercept form.

5x + y = -5

• y = -5x - 5

• y = ⅕x - 5

• x = ⅕

• y = 27, 239, 430