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

hello from mrbilldoesmath!

answer:

x - 3

discussion:

x^2 - 9 = (x-3) (x+3)   so

(x^2-9)/ (x + 3) = x-3

you,

mrb