Solving Systems of Equations by Elimination Worksheet, Cheat Sheet of Mathematics

A worksheet for solving systems of equations by elimination. It contains 24 problems, each with two equations and a request to find the solution. The problems are designed for students learning algebra 1, and they cover various combinations of linear equations. The worksheet is created by kuta software llc, and it is part of their infinite algebra 1 software.

Typology: Cheat Sheet

2023/2024

Uploaded on 01/17/2024

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Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 1 Name___________________________________
Period____Date________________
Solving Systems of Equations by Elimination
Solve each system by elimination.
1)
−4
x − 2
y = −12
4
x + 8
y = −24
2)
4
x + 8
y = 20
−4
x + 2
y = −30
3)
x
y = 11
2
x +
y = 19
4)
−6
x + 5
y = 1
6
x + 4
y = −10
5)
−2
x − 9
y = −25
−4
x − 9
y = −23
6)
8
x +
y = −16
−3
x +
y = −5
7)
−6
x + 6
y = 6
−6
x + 3
y = −12
8)
7
x + 2
y = 24
8
x + 2
y = 30
9)
5
x +
y = 9
10
x − 7
y = −18
10)
−4
x + 9
y = 9
x − 3
y = −6
11)
−3
x + 7
y = −16
−9
x + 5
y = 16
12)
−7
x +
y = −19
−2
x + 3
y = −19
-1-
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Kuta Software - Infinite Algebra 1 Name___________________________________

Solving Systems of Equations by Elimination Date________________ Period____

−4 x + 9 y = −

  1. −14 = −20 y − 7 x −3 − 7 y = 10 x
    1. −4 x − 2 y = − Solve each system by elimination.
    • 4 x + 8 y = − - 2) 4 x + 8 y = - −4 x + 2 y = −
    1. x − y =
    • 2 x + y = - 4) −6 x + 5 y = - 6 x + 4 y = −
    1. −2 x − 9 y = −
    • −4 x − 9 y = − - 6) 8 x + y = − - −3 x + y = −
    1. −6 x + 6 y =
    • −6 x + 3 y = − - 8) 7 x + 2 y = - 8 x + 2 y =
    1. 5 x + y =
    • 10 x − 7 y = − - 10) −4 x + 9 y = - x − 3 y = −
    1. −3 x + 7 y = −
      • −9 x + 5 y =
          1. −7 x + y = −
            • −2 x + 3 y = −
    1. 16 x − 10 y = ©T j 2 f 0 K 1 U 2 H LKgumtbaE HSSoafNtWw 8 a 2 ryeW cL 6 LECM.X A gAPlcls trgiOgZhZtnsA Wr 1 eAsMeKrJvlevdF. 3 X YMLaadoen LwKist 4 hd eIgnCf 6 ihnhiUtWe 1 rAblYgKeabcrOaw 91 I. 5 Worksheet by Kuta Software LLC
    • −8 x − 6 y =
        1. 8 x + 14 y =
        • −6 x − 7 y = −
    1. −4 x − 15 y = −
    • − x + 5 y = −
        1. − x − 7 y =
        • −4 x − 14 y =
    1. −7 x − 8 y =
    • −4 x + 9 y = −
        1. 5 x + 4 y = −
        • 3 x − 9 y = −
    1. −4 x − 2 y =
    • −10 x + 7 y = −
        1. 3 x − 2 y =
        • 5 x − 5 y =
    1. 5 x + 4 y = −
    • 3 x + 6 y =
        1. 2 x + 8 y =
        • −5 x − 20 y = −
        1. 3 + 2 x − y = 10 y + 4 = 2 x

©q R 2 h 041222 cK 7 uitqaL ASPovfPthwEanrQed vLOLrCy. 6 w AAVlXl 9 wrxivgghCtUsC xrmeAsfeGrivpe 9 du.Q Q iMwaHdMeB GwSijtZht xIrnOfNiRnFiotLeH 1 AAlSgheWb 4 r 0 aG X 1 K.J Worksheet by Kuta Software LLC

4 x + 8 y = −

2 x + y =

  1. 8 x + 14 y = 4 −6 x − 7 y = −
  1. −4 x − 15 y = − − x + 5 y = −
  1. x − 7 y = 14 −4 x − 14 y = 28
  1. −7 x − 8 y = 9 −4 x + 9 y = −
  1. 5 x + 4 y = − 3 x − 9 y = −
  1. −4 x − 2 y = 14 −10 x + 7 y = −
  1. 3 x − 2 y = 2 5 x − 5 y = 10
  1. 5 x + 4 y = − 3 x + 6 y = 6
  1. 2 x + 8 y = 6 −5 x − 20 y = − Infinite number of solutions
  2. −14 = −20 y − 7 x 10 y + 4 = 2 x
  1. 3 + 2 xy = 0 −3 − 7 y = 10 x

-2- Create your own worksheets like this one with (^) Infinite Algebra 1. Free trial available at KutaSoftware.com