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Graphing
Substitution or Elimination
Types
Solve using Substitution or elimination
Word problems
100

Solve

y=x-2

x+y=10

What is x and y?


6, 4

100

Would you use substitution of elimination?

y = 2x+8

22x-18y=10

Substitution

100

How many solutions if the lines intersect once?

1 solution

100

Solve using substitution or elimination. NO Graphing!

y=x+1

2x+y=7

2, 3

100

Suppose you bought eight oranges and one grapefruit for a total of $4.60. Later that day, you bought six oranges and three grapefruits for a total of $4.80. What is the price for each orange and grapefruit?

oranges $.50

Grapefruit $.60

200

Solve for x and y

y=7-x

x+3y=11

5, 2

200

Would you use substitution of elimination?

2x-5y=18

-2x+18y=40

elimination

200
How many solutions if the lines never intersect?

No solution

200

Solve using substitution or elimination. NO Graphing!

x=y-2

3x-y=6

4, 6

200

Suppose your drama club is planning a production that will cost $525 for the set and $150 per performance. A sold-out performance will bring in $325. How many performances are needed to make the cost equal to the income?

3 performances

300

Solve for x and y

y=2/3x-5

y=-2/3x-3

1.5, -4

300

Would you use substitution of elimination?

x+10y=210

-4x-5y=48

elimination

300

How many solutions if the lines overlap?

infinite solutions
300

Use substitution or elimination. NO graphing!

2y-3x=4

x=-4

-4, -4

300

Suppose you are buying two kinds of notebooks for school. A spiral notebook costs $2 and a three-ring notebook costs $5. You must have at least six notebooks. The cost of the notebooks can be no more than $20. 

Which solution can work?

4, 3             6, 2              8, 1                    7, 1

7, 1

400

Solve for x and y

x-y=-1

2x+2y=10

2, 3

400

Would you use substitution of elimination?

14x-8=y

x=22y+10

substitution 

400

What lines make no solution?

Parallel lines

400

Use substitution or elimination. NO graphing!

3x+4y=-1

x-2y=7

2.6, -2.2

400

Jen has $13,000 to invest in stocks and bonds. Stocks can earn 12% annually and bonds can earn 9%. This is how much should be invested in each to earn an annual return of $1395.

$7500 stocks

$5500 bonds

500

Solve for x and y

y=12x+55

-8x-22y=150

-5, -5

500

Which method does Ms. Halliday prefer?

Substitution 

500

What type of lines make one solution?

intersecting lines

500

Use substitution or elimination. NO Graphing! 

x+2y=10

3x-y=9

4, 3

500

The sum of two numbers is 35. Twice the first number minus the second number is 7. What is the difference between these two numbers?

7