Solving System of Linear Equations in Two Variables

Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-3,-8)
• (-8,-3)
• (3,-8)
• (8,3)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

Tags

TEKS.MATH.A.5C

What is the solution to this system?

• $\left(-2,0\right)$

• $\left(0,-2\right)$

• $\left(4,0\right)$

• $\left(0,4\right)$

When both variables are eliminated resulting in a false statement, the system has no solution.

• True

• False

When both variables are eliminated resulting in a true statement, the system has an infinite number of solutions.

• True

• False

Solve the system of linear equations below.

x = -3y - 8

x - 2y = -3

• (5, -1)

• (-5, 1)

• (-5,-1)

• (1,-5)

Solve by elimination:

4x + 9y = 28

-4x - y = -28

• (-7,0)

• (6,0)

• (-6,0)

• (7,0)

Solve by elimination:
3x+7y=23

-3x-7y=-17

• No solution
• ARN
• (-3,3)
• (3,3)

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

Solve by elimination:
7x+y=-9

-3x-y=5

• No solution
• (1,8)
• (-2,-3)
• (-1,-2)

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

Solve for x and y
2x − 3y = −1
 y = x − 1

• (-2,-3)
• (0,-1)
• (3,4)
• (4,3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6