( Solving(systems(of(equations(using( ELIMINATION:(
Solving(systems(of(equations(using(ELIMINATION:(
( STEPS:+
EXAMPLE+
A) Setup(system(properly:(
(((((( x + y = # ( (((((( x + y = # (
4x + 5 = !3y Solve:((( 8x + 4 y = !6 (
( B) Choose(1(variable(to(eliminate.(
(
C) Get(the(coefficients(of(that(variable( to(be(opposite-values(by(
multiplying(or(dividing(through(the(
entire(equation(s).(
( D) Combine(the(equations(vertically,((
and(solve(for(the(remaining(
variable.(
(
E) Take(that(value(&(plug(into(either( equation(&(solve(for(the(2nd(
variable.(
(
F) State(the(solution(as(a(point.((x,(y)(
(
G) Do(a(check(for(both(equations.(
(
(
(
(
(
(
(
(
(
(
(
(
Homework:((On(SEPARATE+PAPER(do(the(following(exercises:((From(Bumby(Pg(436)(
13)(((( x + y = 7 (
19)((( x ! y = 6 (
((((((((((( x ! y = 9 (
(((((((( 2x + 3y = 7 (
( 20)((( 2x ! 5y = 1 (
( 22)((( 2x + y = 7 (
(((((((( 3x + 2 = 4y (
((((((((( 3 x ! y = 7 (
2
2
Kuta Software - Infinite Algebra 1
Name___________________________________
Solving Systems of Equations by Elimination
Date________________ Period____
Solve each system by elimination.
1) -4x - 2 y = -12 4x + 8 y = -24
2) 4x + 8y = 20 -4x + 2y = -30
3) x - y = 11 2x + y = 19
4) -6x + 5y = 1 6x + 4y = -10
5) -2x - 9 y = -25 -4x - 9 y = -23
6) 8x + y = -16 -3x + y = -5
7) -6x + 6 y = 6 -6x + 3 y = -12
8) 7x + 2y = 24 8x + 2y = 30
9) 5x + y = 9 10x - 7 y = -18
10) -4x + 9y = 9 x - 3 y = -6
11) -3x + 7 y = -16 -9x + 5 y = 16
12) -7x + y = -19 -2x + 3y = -19
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-1-
Worksheet by Kuta Software LLC
13) 16x - 10 y = 10 -8x - 6y = 6
15) -4x - 15 y = -17 -x + 5 y = -13
17) -7x - 8 y = 9 -4x + 9 y = -22
19) -4x - 2 y = 14 -10x + 7 y = -25
21) 5x + 4 y = -14 3x + 6y = 6
23) -14 = -20 y - 7x 10y + 4 = 2x
14) 8x + 14 y = 4 -6x - 7y = -10
16) -x - 7y = 14 -4x - 14 y = 28
18) 5x + 4y = -30 3x - 9y = -18
20) 3x - 2y = 2 5x - 5y = 10
22) 2x + 8y = 6 -5x - 20 y = -15
24) 3 + 2x - y = 0 -3 - 7 y = 10x
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-2-
Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 1
Name___________________________________
Solving Systems of Equations by Elimination
Date________________ Period____
Solve each system by elimination.
1) -4x - 2 y = -12 4x + 8 y = -24
(6, -6)
2) 4x + 8y = 20 -4x + 2y = -30
(7, -1)
3) x - y = 11 2x + y = 19
(10, -1)
4) -6x + 5y = 1 6x + 4y = -10
(-1, -1)
5) -2x - 9 y = -25 -4x - 9 y = -23
(-1, 3)
6) 8x + y = -16 -3x + y = -5
(-1, -8)
7) -6x + 6 y = 6 -6x + 3 y = -12
(5, 6)
8) 7x + 2y = 24 8x + 2y = 30
(6, -9)
9) 5x + y = 9 10x - 7 y = -18
(1, 4)
10) -4x + 9y = 9 x - 3 y = -6
(9, 5)
11) -3x + 7 y = -16 -9x + 5 y = 16
(-4, -4)
12) -7x + y = -19 -2x + 3y = -19
(2, -5)
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-1-
Worksheet by Kuta Software LLC
13) 16x - 10 y = 10 -8x - 6y = 6
(0, -1)
15) -4x - 15 y = -17 -x + 5 y = -13
(8, -1)
14) 8x + 14 y = 4 -6x - 7y = -10
(4, -2)
16) -x - 7y = 14 -4x - 14 y = 28
(0, -2)
17) -7x - 8 y = 9 -4x + 9 y = -22
(1, -2)
18) 5x + 4y = -30 3x - 9y = -18
(-6, 0)
19) -4x - 2 y = 14 -10x + 7 y = -25
(-1, -5)
20) 3x - 2y = 2 5x - 5y = 10
(-2, -4)
21) 5x + 4 y = -14 3x + 6y = 6
(-6, 4)
22) 2x + 8y = 6 -5x - 20 y = -15
Infinite number of solutions
23) -14 = -20 y - 7x 10y + 4 = 2x
(2, 0)
24) 3 + 2x - y = 0 -3 - 7 y = 10x
(-1, 1)
Create your own worksheets like this one with Infinite Algebra 1. Free trial available at
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-2-
Worksheet by Kuta Software LLC
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