Question

Write each equation in standard form. y - 10 = 2(x - 8) How do I solve this

Answer 1

Answer:

2x-y=6

Step-by-step explanation:

y-10=2(x-8)

y-10=2x-16

y=2x-16+10

y=2x-6

2x-y=6

Answer 2

First, we can expand the terms on the right side of the equation:

y

−

10

=

2

(

x

−

8

)

y

−

10

=

(

2

×

x

)

−

(

2

×

8

)

y

−

10

=

2

x

−

16

Next, we can add

10

and subtract

2

x

from each side of the equation:

−

2

x

+

y

−

10

+

10

=

−

2

x

+

2

x

−

16

+

10

−

2

x

+

y

−

0

=

0

−

6

−

2

x

+

y

=

−

6

Now, multiply each side of the equation by

−

1

−

1

(

−

2

x

+

y

)

=

−

1

×

−

6

(

−

1

×

−

2

x

)

+

(

−

1

×

y

)

=

6

2

x

+

(

−

y

)

=

6

or

2

x

−

y

=

6