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

this excerpt is taken from the book “we shall not be moved : the women’s factory strike of 1909 “ and is written by joan dash. it is the story of the great strike when almost 30thousand women working in factories in america formed a union to fight unsafe working conditions, long working hours and miserable wages.

question: which best states the author’s purpose for including this information in the text?

answer: to challenge the reader’s ideas about a historical event

the answer is c. ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀