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Laabri

Solving Systems by Elimination

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Last updated over 2 years ago
15 Nsɛmmisa
Hyɛ no nsow a efi ɔkyerɛwfo no hɔ:

Solving systems of equations with addition and subtraction.

Write all solutions to systems of equations as an ordered pair (x,y)

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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

What variable do you eliminate?

4x + 8y = 20

−4x + 2y = −30

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

Put the steps for solving by ELIMINATION in order:

  1. Make sure the equations are lined up

  2. Subtract the equations to eliminate one variable

  3. Solve for the remaining variable

  4. Plug that number into either original equation and solve for the other variable

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

Solve by elimination. Write the answer as an ordered pair

(Show all work)

4x+9y=28 -4x-y=-28

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

Solve by elimination. Write the answer as an ordered pair

(Show all work)

7x+y=-9

-3x-y=5

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

What would be the first step in finding the solution with elimination?

4x + 3y = 1

x - 3y = -11

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

Solve by elimination. Write the answer as an ordered pair

(Show all work)

4x+4y=4 3x+4y=10

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

Identify the solution to this system of equations

Asemmisa {{asɛmmisaAhyɛnsode}}
8.

Solve by elimination. Write the answer as an ordered pair

(Show all work)

3x+7y=23

-3x-7y=-17

Asemmisa {{asɛmmisaAhyɛnsode}}
9.

Solve by elimination. Write the answer as an ordered pair

(Show all work)

-x+2y=17 2x+2y=-10

Asemmisa {{asɛmmisaAhyɛnsode}}
10.

How many solutions does the following equation have? 3x − 3 = −3 + 3x

Asemmisa {{asɛmmisaAhyɛnsode}}
11.

Solve by elimination. Write the answer as an ordered pair

(Show all work)

3x + y = –14

–2x – y = 9

Asemmisa {{asɛmmisaAhyɛnsode}}
12.

Solve by elimination. Write the answer as an ordered pair

(Show all work)

x + 4y = –3  x + 7y = –12

Asemmisa {{asɛmmisaAhyɛnsode}}
13.

What is the slope and the y intercept of the following?

Asemmisa {{asɛmmisaAhyɛnsode}}
14.

Solve by elimination. Write the answer as an ordered pair

(Show all work)

-x+2y=17

2x+2y=-10

Asemmisa {{asɛmmisaAhyɛnsode}}
15.

A system of two parallel lines will have how many solutions?