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Using either substitution or elimination method, solve the system of equations that consists of 8x+y= -16 and -3x+y=-5 Your solution will be a coordinate of integers. ​

Respuesta :

Answer:

x= -1

y= -8

Step-by-step explanation:

Solve for y in 8x + y = -16

y = -16 - 8x

Substitute y = -16 - 8x into -3x + y = -5

-11x - 16 = -5

Solve for x in -11x - 16 = -5

x = -1

Substitute x = -1 into y = -16 - 8x

y = -8

Therefore,

x= -1

y= -8

Supernova

Answer:

(-1, -8)

Step-by-step explanation:

SUBSTITUTION METHOD:

  • 8x + y = -16
  • -3x + y = -5

Solve for y in the first equation by subtracting 8x from both sides.

  • y = -16 - 8x

Substitute this value for y into the second equation.

  • -3x + (-16 - 8x) = -5

Remove the parentheses and simplify.

  • -3x - 16 - 8x = -5

Combine like terms.

  • -11x - 16 = -5

Add 16 both sides of the equation.

  • -11x = 11

Divide both sides of the equation by -11.

  • x = -1

Substitute this value for x into either equation (I'm using the first equation).

  • 8(-1) + y = -16

Multiply and simplify.

  • -8 + y = -16

Add 8 to both sides of the equation.

  • y = -8

ELIMINATION METHOD:

  • 8x + y = -16
  • -3x + y = -5  

Subtract the second equation from the first equation to "cancel" the y-variable.

  • 11x = -11

Divide both sides of the equation by 11.

  • x = -1

Substitute this value for x into either equation (I'm using the second equation).

  • -3(-1) + y = -5

Multiply and simplify.

  • 3 + y = -5

Subtract 3 from both sides of the equation.

  • y = -8

The solution to this system of equations is (-1, -8).