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6.2A Solving Systems by Substitution (isolated), Exams of Linear Algebra

Steps. 1) Solve one of the equations for x or y. • This is already done for you for this section. 2) Substitute the expression into the other.

Typology: Exams

2021/2022

Uploaded on 09/12/2022

arold
arold 🇺🇸

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Name: ________________________________ Key: ________________________ Date: __________ Per: ___
6.2A Solving Systems by Substitution (isolated)
Solve each system by substitution.
Steps
1) Solve one of the equations for x or y.
This is already done for you for this
section.
2) Substitute the expression into the other
equation and solve for the variable.
3) Once you solved one for one of the variables,
plug this solution into one of the original
equations and solve for the other variable.
4) Check your answer by plugging it back into
both equations and seeing if it holds true.
Solve each system by substitution.
5
1.
12
x
x y
=
+ =
2
2.
3 4
x
x y
=
+ =
3.
3 4 8
y
x y
=
+ =
2
4.
9
y x
x y
=
+ =
3
5.
4
y x
x y
=
+ =
3
6.
3 0
x y
x y
=
=
2
7.
9
x y
x y
=
=
2
8.
6 3 16
y x
x y
=
+ =
3
9.
4 2 20
y x
x y
=
=
pf2

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Name: ________________________________ Key: ________________________ Date: __________ Per: ___

6.2A Solving Systems by Substitution (isolated)

Solve each system by substitution.

Steps

1) Solve one of the equations for x or y.

• This is already done for you for this

section.

2) Substitute the expression into the other

equation and solve for the variable.

3) Once you solved one for one of the variables,

plug this solution into one of the original

equations and solve for the other variable.

4) Check your answer by plugging it back into

both equations and seeing if it holds true.

Solve each system by substitution.

x

x y

^ =

x

x y

^ = −

y

x y

^ =

y x

x y

^ =

y x

x y

^ = −

x y

x y

^ =

x y

x y

^ = −

y x

x y

^ =

y x

x y

^ = −

Solve each system by substitution.

y x

y x

^ = −^ +

y x

y x

^ = −^ +

y x

x y

^ =^ −

y x

x y

^ =^ −

x y

x y

x y

x y

  1. Next week your math teacher is giving a chapter test.

The test will consist of 35 questions. Some problems

are worth 2 points and some problems are worth 4 points.

There are 20 questions worth 2 points. How many

problems of 4 points are on the test?

Answers

  1. (^) ( 5, 7 (^) ) 2) (^) ( −2, 2 (^) ) 3) (^) ( 4, 5) 4) (^) ( 3, 6 (^) ) 5) (^) ( −2, 6 (^) ) 6) Infinite Solutions 7) (^) ( 6, − (^3) ) 8) No Solution