Other than guessing, what could we do?
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Transcript of Other than guessing, what could we do?
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What happens if we graph a system of equations and the lines intersect, but we can’t tell exactly where they intersect?
Other than guessing, what could we do?
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In this lesson you will learn how to solve a system of linear
equations by the addition/elimination method.
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Let’s ReviewLet’s Review
X + 2 = 5
3(X + 2 = 5)
X + 2 = 5
3X + 6 = 15
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Let’s ReviewLet’s Review
X + 2 = 5 3X + 6 = 15
-2 -2
X = 3
-6 -6
3X = 9
3 = 3
X = 3
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Let’s ReviewCore Lesson
Determine the solution for the system of equations using the addition/elimination
method.x + y = 53x – y =7
x + y + 3x - y = 5 + 7
4x = 124 = 4
x = 3
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Let’s ReviewCore Lesson
x + y = 53x – y =7
x = 3x + y = 53 + y = 5
-3 =-3 y = 2
The solution is (3,2)
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Let’s ReviewA Common Mistake
Writing the solution in the form of first number found, second number found, rather than as (x,y)
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Let’s ReviewCore Lesson
Check
3x – y = 7x + y = 5
The solution is (3,2)
3 + 2 = 5 5 = 5
3*3 – 2 = 7
7 =7
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Let’s ReviewCore Lesson
Determine the solution for the system of equations the addition/elimination method.
x + y = 13x – 3y =7
x + y + x – 3y= 5 + 7
2x -2y = 12
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Let’s ReviewCore Lesson
Determine the solution for the system of equations using the addition/elimination
method.
x + y = 13x – 3y =7
x + y = 13
-1(x – 3y = 7)
x + y = 13
-x + 3y = -7
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Let’s ReviewCore Lesson
x + y = 13x + y -x + 3y= 13 - 7
4y = 6
-x + 3y = -7
4 = 4 y =
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Let’s ReviewCore Lesson
x + y = 13x – 3y =7
x + y = 13 y =
x + = 13
- =-
x = The solution is (, )
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Let’s ReviewCore Lesson
Checkx – 3y = 7x + y = 13
+ = 13
13 = 13
– 3* = 7
7 =7 The solution is (, )
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Let’s ReviewCore Lesson
The solution is (, )
(, )
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In this lesson you learned how solve a system of linear
equations by the addition/elimination method.
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Let’s ReviewGuided Practice
Find the solution for the system of equations -x + y = 5 and x + 2y = 27 using the addition/elimination method.
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Let’s ReviewGuided Practice
-x + y = 5 x + 2y = 27
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Let’s ReviewGuided Practice
-x + y = 5 x + 2y = 27
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Let’s ReviewGuided Practice
Find the solution for the system of equations x + y = -12 and 2x + y = 3 using the addition/elimination method.
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Let’s ReviewGuided Practice
x + y = -12 2x + y = 3
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Let’s ReviewGuided Practice
x + y = -12 2x + y = 3
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Let’s ReviewExtension Activities
What property allows me to add these two equations together x + y =5 and x-y=2? Why?
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Let’s ReviewExtension Activities
Find the solution of -3x+y=2 and 4x-y=4 using the addition/elimination method.
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Let’s ReviewExtension Activities
Create a system of linear equations that have only one solution. Solve the equations by using the addition/elimination method.
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Let’s ReviewQuick Quiz
The solution for the system of linear equations x-2y = -9 and x + 3y = 16 isa)(-1, 5) b) (1, -5) c) (1, -5) d) (-1,-5)
The solution for the system of linear equations 2x + y = 9 and 3x - y = 16 isa)(5, -1) b) (-5, 1) c) (-5, -1) d) (5,5)