Question

1. y - 5 = -2(x - 3) in standard form (pls explain)

Answer 1

Answer:

The equation is standard form is 2x + y = 11.

The equation is standard form is 2x - 3y = 18  

Step-by-step explanation:

Standard form: Ax + By = C

You need to solve the equation so that it is in that form.

y - 5 = -2(x - 3)

y - 5 = -2(x)  - 2(- 3)             Distributive property

y - 5         = -2x + 6             Simply . remember -2(-3) = 6

y - 5 + 2x = 2x + 6            Adding 2x to both sides of the equation

2x + y - 5      =     6             Now the x-term and the y-term are on one side

2x + y - 5 + 5 =   +5            Adding +5 to both sides of the equation

2x + y           =  11

Now the equation is standard form is 2x + y = 11

2.   y + 4 = 2/3 (x - 3)

       y + 4 = 2/3(x) + 2/3(- 3)        Distributive property

        y + 4         =  2/3x  - 2           Simply : 2/3(-3) = -6/3  = -2

    y  + 4 - 2/3x = -2/3x                 Adding -2/3x to both sides  

     y + 4 -2/3x =             -2      

        -4          =              -4            Adding -4 to both sides

     y - 2/3x  =   -  6

   -y  + 2/3x = 6                              x- term is positive so multiply by -1 will

      2/3x - y = 6                             change the sign in the equation      

     3(2/3x) -3(y) =  3(6)                You do not want a fraction in the x-term so

                                                     multiply by 3. Each term by 3.

        2x - 3y = 18                           3(2/3) = 6/3  = 2