Question

-3x-3y=3
5x+y=-17
Substitution
What does x and what does y equal

Answer 1

Explanation:

-3x - 3y = 3 ---------(i)

5x + y = -17

y = -5x - 17

Substitue y value in equation (i)

-3x - 3*(-5x - 17) = 3

-3x -3*(-5x) -3*(-17) =3

-3x + 15x + 51 = 3

12x + 51 = 3

12x = 3 - 51

12x = -48

x = -48/12

x =-4

Sustitute x value in Equation (i)

-3*(-4) - 3y = 3

12 - 3y = 3

-3y = 3 -12

-3y = -9

y =-9/-3

y = 3

Answer 2

`x=-4\\\\y=3`

Explanation:

Given Equations:

`-3x-3y=3` Equation:1

`5x+y=-17` Equation:2

Solving Equation:2 for the value of 'y'

`5x+y=-17`

Subtracting '5x' both sides:

`y=-17-5x` Equation:3

Using substitution method: Put the value of 'y' in equation:1

`-3x-3y=3`

`-3x-3(-17-5x)=3\\\\-3x-3(-17)-3(-5x)=3\\\\-3x+51+15x=3\\\\12x+51=3\\\\`

Subtracting '51' both sides:

`12x=3-51\\\\12x=-48\\\\x=-48/12\\\\x=-4`

Putting the value of 'x' in equation:3

`y=-17-5x`

`y=-17-5(-4)\\\\y=-17+20\\\\y=3`

The values of 'x' and 'y' are:

`x=-4\\\\y=3`