Solve using substitution.
2x - 2y = 2
y = -5x + 14

x

=

5

2

and

y

=

3

2

Step-by-step explanation:

Let's solve your system by substitution.

2

x

−

2

y

=

2

;

y

=

−

5

x

+

14

Rewrite equations:

y

=

−

5

x

+

14

;

2

x

−

2

y

=

2

Step: Solve

y

=

−

5

x

+

14

for y:

y

=

−

5

x

+

14

Step: Substitute

−

5

x

+

14

for

y

in

2

x

−

2

y

=

2

:

2

x

−

2

y

=

2

2

x

−

2

(

−

5

x

+

14

)

=

2

12

x

−

28

=

2

(Simplify both sides of the equation)

12

x

−

28

+

28

=

2

+

28

(Add 28 to both sides)

12

x

=

30

12

x

12

=

30

12

(Divide both sides by 12)

x

=

5

2

Step: Substitute

5

2

for

x

in

y

=

−

5

x

+

14

:

y

=

−

5

x

+

14

y

=

−

5

(

5

2

)

+

14

y

=

3

2

(Simplify both sides of the equation)

x

=

5

2

and

y

=

3

2

think about the doctor who treated the major and the speaker in the short story "in another country." put yourself in the shoes of the doctor, and based on what you read in the story, write what you think his thoughts about the major and the speaker would be. use the following vocabulary in your response and change the form of these words as needed: detached resign withered