simultaneous linear equation in two variable

Graphically, the pair of equations 6x – 3y + 10 = 0 , 2x – y + 9 = 0 represents two lines which are

• intersecting at exactly one point
• intersecting at exactly two points.
• coincident. 
•  parallel.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

y=x-9

y=-4x

• x=7

  y=1.8

• x=7.2

  y=1.8

• x=1.8

  y=-7.2

• x=1.88

  y=7.2

Write an equation in Standard Form.
A store sells t-shirts for $12 each and sweatshirts for $15 each. You plan to spend $120 on t-shirts and sweatshirts.

• 2x + 5y = 120
• 12x + 15y = 120
• 12 + 15y = 2x
• 12x + 15 = 120

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

What is the solution(s) for the following intersection of two lines? 

• (-1,-1)
• (-1,1)
• (1, 1)
• (1, -1)

Solve the Simultaneous Equations:
x + y = 5
x - y = 1

• x=2, y=3
• x=3, y=2
• x=3, y=-2
• x=-3, y=2

What is the solution?

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

A fruit seller sells apples at $2 each and oranges at $4 each. On Monday, his sold a total of 57 fruits and earned a revenue of $158. Find out the total number of apples sold on Monday.

• 35

• 15

• 22

• 43

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

CCSS.HSA.SSE.A.1

Solve and find the value of k for the following simultaneous equations:

3h − k = 2

2h + k = 8

• 2

• 4

• 7

• 10

The cost of downloading one song from a website is $0.99.
Which equation can be used to find t, the cost in dollars of downloading n songs?

• t = 0.99n
• t = n + 0.99
• n = 0.99t

Solve for y
8x + 2y = -10

• y = -8x + 5
• y = -4x - 5
• y = -¹/₄ x - 10
• y = -¹/₄ x - 5

Tags

CCSS.HSA.CED.A.4

CCSS.HSA.REI.C.6