Checking Solutions Equations Two Variables

What is the solution to the system of equations:

• (5,5)

• (-4,5)

• (5,4)

• (4,5)

Tags

CCSS.8.EE.C.8B

What is the solution to the following system of equations?

• (3,-2)

• (0,-3)

• (2,1)

• (4,-4)

Answer explanation

The two lines intersect at the point (3, -2).

Tags

CCSS.8.EE.C.8B

What is the solution of the system of equations shown in the graph?

• (3,-6)

• (-6,3)

• (0,-5)

• (-5,-2)

Tags

CCSS.8.EE.C.8B

In the image on the left, the intersection or solution point is at (2, 5). When checking this equation, you should substitute 2 in for the ___________________ . ( fill in the blank)

• X value

• Y value

• You cannot tell which it represents

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

The sum of two numbers is -2.  The difference is -​ 12.  
Find the 2 numbers

​ ​ (a)   ​ (b)   ​

• 5

• -7

• 6

• -4

• 3

• -3

• 2

• -2

Tags

CCSS.8.EE.C.8C

Identify the option having two correct solutions for the equation 5x + 4y = 20

• (2,1) and (3,2)

• (1, 4) and (3,1)

• (0, 5) and (4, 0)

• (4, 3) and (3, 0)

Answer explanation

5x + 4y = 20 On taking (x = 0, y = 5), L.H.S = 5(0) + 4(5) = 20 = R.H.S On taking (x = 4, y = 0), L.H.S = 5(4) + 4(0) = 20 = R.H.S Therefore, (0, 5) and (4, 0) are two solutions of the given linear equation in two variables.

• (2.5, 1)
• (1, 2.5)
• (-2.5, -1)
• (-1, -2.5)

Tags

CCSS.8.EE.C.8A

What is the solution to the system of equations graphed below?

• No Solution

• Infinite Solutions

• One Solution: (3, 1)

• One Solution: (1, 3)

Tags

CCSS.8.EE.C.8B

Which ordered pair is the solution of the system graphed below?

• (2, 0)

• (8, 0)

• (-3, 5)

• (3, 8)

Tags

CCSS.8.EE.C.8B

Which system of linear equations represents the graphs shown?

• y = 3x + 1

  and

  y = x + 3

• y = -x - 3

  and

  y = x - 1

• y = 1/3x - 1

  and

  y = x - 3

• y = x - 1

  and

  y = 3x - 3

Tags

CCSS.8.EE.C.8B